{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../../\")\n",
    "import yellowbrick"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from yellowbrick.style import find_text_color\n",
    "from yellowbrick.style.palettes import color_sequence\n",
    "\n",
    "colors = ['Blues','Greens','Oranges','Purples','Reds']\n",
    "cmaps = []\n",
    "for c in colors:\n",
    "    cmaps.append(color_sequence(c))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_example(coef_choice):\n",
    "    X = np.linspace(0,1,num=21)\n",
    "    Y = np.linspace(0,1,num=2)\n",
    "    values = np.array([np.linspace(0,1,num=20)])\n",
    "    fig, axarr = plt.subplots(len(cmaps),1,squeeze=False)\n",
    "\n",
    "    for idx, cmap in enumerate(cmaps):\n",
    "        ax = axarr[idx,0]\n",
    "        ax.pcolormesh(X,Y,values,cmap=cmap)\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "        for idx, x in enumerate(X):\n",
    "            if x < 1:\n",
    "                text_x = x + 0.025\n",
    "                text_y = 0.5\n",
    "                base_value = round(values[0][idx],1)\n",
    "                base_color = cmap(base_value)\n",
    "                color=find_text_color(base_color,coef_choice=coef_choice)\n",
    "                ax.text(text_x,text_y,base_value,va='center',ha='center',fontsize=12,color=color)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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nv1XZWcjQo54L1h6LRnaB4QW3sbNtzDWH1LNylVrtiicrbNZm+n9/Vuy5gYb+jvhrytsA\nALVajfX/RGL5ntIv3qhQ2Zaai4OynjlsqsjVPLa21L146OTlCMQkPsSSCb2RV6DC5ZtxCKrmitlj\nuqK4WA1zM8NWII2ZDQCZ2XnIzM4zeHsbS7NSxqs5kmRt8fKnk71SAVhc/PwTbE1MdBcYX6bP68p+\nXd707IN7d2HcyEFo0LgZJkyb+2Zkq8vIFj0/u3nrjgiq2whhl8/j5xULUVCQj6kLf6zw2eqyvud6\nslXKAqyb+Tna9xsKzxq1DMqpaNllfSwW6cmWyM3QdfpPsHX2gJVDVQBA1YB6MJFIceG3FajXawQq\nuRhwONqo2c//nuvLVj9ZaXMMegs+XUcCACr5hUBdXISovavh1XEozB0MuODJiNkmZRwHKy5jlaRv\nIzeYiIBfT8WWmfVmZeuGSyUm+HvuO3C0NcOoVacRmZSJRtWdMLFXMHILVPjy59CKn13Ge0Wxnm96\nYWEx3vlkJVbP+AD7fhwNkQhIeZCJzxduw+aFQ5CXr9Szp4qV/TJMTMr4OZXxOv08r1QAlly9qlBo\nr4CUrOLZ6FndKbOPgVfjvkz262LMbKsn+3521alk9c2qjOx1q5Zj/ozJaNz8Laz69XfIZLondVfE\nbEtLzapj7jOrTiVjeXZV8llefppzs4LqNUaRqhDrVszHx+OmwNHZpUJnmz1ZdczP1V59KVl9M3tm\nVRIAdvy4CGqo0WXwGBQXFUGtVkOtBkQiNYqLimAiFpeZa+zsktU3ZZ52dsnq27OrcwAgkcnhVrux\nTrtn3ZYI3boc6bF3DCrCjJktMdXsuyg/V6u9ZPVNYqabLTY1ByCCfaD2Vfh2AY0QtXcVshMjDCrC\njJmteLL6ZiHXfn6UrL4p8p9/OPnt2lVw6m76C118URGyM5+svlk9s9pWsvqWmatbWPRs7Ima7pXQ\naeZBnLyRAgA4c/s+snKVWDq0MdYdvos7iRkVO/vJCpiVhfbKmbWFqdb/Pys26SHeHrYM9rYWsLOx\nwL34B3B3toNIBDzKytXbpyJlv4x/x6u9MvnveA2/+ORZr7RU5e3jA7FYjKgo7WP/Ufc0j6vXqKHT\nx9+/GtRqtW6fqHsQiUSoVl23z+vKfl2Mme3u6Q2xWIy4GO2LZWKfPPb1K/0k9JmTxuObaRPRpWcf\n/Lx1F8wtyj63paJku7h7wUQsRmKc9nlnJY89fPx1+qQmJ2Dvn5ugUmq/kPkHam5nkZ6m//YEFSnb\n0dUDJiZi3E+M1WpPe/LY2dNXp8/lfw4gNS4aI1tWx7AmPhje1BcRV0Nx90oohjX1xZl92yt8tk0V\nd5iYiJGZEq/VXvLYztVHp09GShxuHv4DylztQr1QqTlUYmZtp9OnomWbVXaBSGSCvPRErfa8B5rH\n5k4eOn3MHdwAqFFcqP1cUz8599DEwAsxjJkdn56LIrUaHpW1Xxc8nzy+d1//6QYA4GgtR6CLNfZd\nSzEoqyJlR6dmoahYDR9n7Q+RJY/v6LmgxK2yphA/f0f7opXTt1IhEokQ4Kb/3L0KlZ2QjqIi9dNz\n6J5mP3l8J0b39VEuk6Bvx3pwd7bDw4wcRMalQa1Wo06AG9Rq4NrthAqf/TIiYtMgEkHveNVq4K6e\n8RrqlQpAuVyOZs1b4K+dO7Tad+7YBltbW9Sr30Cnj7ePDzy9vLBzxzadPr5+fgbfFPllsl8XY2fX\nb9wMh/b+pdV+YM9OWNvYIqiO/nuzLZw9FRvWrcKwUZ9hyQ8/v9RFKMbMlsnlCK7fBCcO79FqP3bw\nL1ha2yAgqK5On9SkBMz7egxOHNmr1R566h9IpDK4e+sWMBUtWyqTwz+kAa4cO6jVfunv/TC3soZ3\nYJBOn7FLfsG0X3dj2vo9T7/cq9WER/VamLZ+D4Kbt9XpU9GyxVIZnAPqIvr8Ua32qHOHIbewgqOf\n7uHl3McPcHz1TNw7e0irPfL0fsjNreDoY9g9Ro2ZbSKVwdY3GA/CTmi1p107BomZJaw9AnT62PoE\nQywzw/3LR7Ta08NPQWQigY1XzQqfrSwqxsWoR3i7tvYJ+B2DqiArX4Ww+NKvrA32sIUa0Hu/vgqf\nXViM07dS0a2Rp1Z7j8ZeyMhR4lLkA50+JffaaxpQRau9SQ0nqNVqxNx//jnJFSJbVYjTV+6hW2vt\n15AebUOQocjDpRu6FxwpVUVYMrEPBvf89z67JiYijOzbEtGJ6bh5z7Abbxsz+2XEJKYjNukherQN\nfma8wbgXn4aE1Jd77gGv4UbQbm7uWLRgHm7evAErKyts2rgeSxYvxNQZs9CseQsoFAqEXbsGuakp\nzM01JxPb2Nhi4fxv8CAtDWKJBMuWfIstmzdi2cofUSNA90WmNC+T/V/Xw8Kwd89fL3Uj6PLILu2G\nyFVd3PDjskWIuH0TFpZW2PH7JqxZuQTjJk5Fg8bNkJ2twK3wMMjkcpiZm+NWeBi+GD0UQXXqYcjI\nMUhNSdL6srS2huw593Mr7+zS5u3k7IqNq5ciOuI2zC0ssX/HVmz5aTmGjp2MkPpNkJOtQOStcMhk\ncpiamcOpqivCr17E3m2bYWFljeysTPyxfjV2bFmHoWMmoH7TVgbNubyyS7sRtJ1TVexf/wMSo+7C\n1MICZ/Ztw8FNq9H94/GoFtIQeTnZiI+4CalMDrmpGazt7GFb2Unr68LhvyCRytB54CeQyQ3/6wzl\nkV3ajaAtKzvjyo61eBgfCampBe4e+wtXd/2MBn0/hUtgPSjzcvAg5jbEUjmkcjNYVnZGyu0ruPPP\nTkjlZlDm5yB832aEH9iCxh+OR9XAsm9cXZ7Zpd0I2tTWCXFHNyInORpiuTlSL+xH/N9b4N1pKCr5\nhqAwPweKxEiYSGQQy0xhIpHCRCpDwrHfoMx+DBOpDKkXDyHuyEa4vdUHDrWaGzzv8sgu7UbQyRl5\nGNnGB/7OVsgpKETPei4Y3sobSw9G4lLMY1jIxQhwsYaysFjrJsudg50R4lEJ8/fcMXiexsgu7UbQ\nCek5+LJnEALdK0GRr8IHrfwwvnttzP7tCs7cvg9LUymCvOxRoCpCnrIIkcmZaB/ihoFt/JGTXwgL\nUwn6NPPG9P51cehKIlbuvWnwvMslu5QbQSekPsaXg9sj0LcqFLn5+KBLQ4wf2BazV+3DmatRsDSX\nI6iaKwqUhch7chjeysIUo/q/hUxFHqwsTTF/XE+81cAfw6ZtRFSCbsFa6ryNmP1f7lXt8GHXhtj4\nnxtB68vOzM7HV4PfhoOdFYqKijF2QBv079wAY+f9jjuvcCPoVy4APT29UKt2EHbt2I7VP36P+Pg4\nTJw0BWM/Gw8AuBB6Hu1at0BAQCBqB2kq7tpBwXB2roqtWzfh55/WQJGtwILFS9G7z3tlDvhVs//r\nVQrA8sgurRByc/dEjcBaOLhnFzb+shrJCfEYNX4ihjy50fLVixfQt2s7+FULQI2atbHp17W4eO40\n7qem4I/N63W+WrRqBxc3w1ZeyyO71MLX1QO+1Wvi+MHd2L55HVKTE/DRJ1+g3+BRAICbVy/hk/c7\nw8uvOvxq1IRIJELL9u8gR5GJ3X9swK7ffkVOdhZGfD4NvQcY9qfMyjO7tALQoaob3Pxq4PI/B/DP\ntg14lJqEdwZ/irf7DwMARN+4gvkf90FVL3+4++v/AHVm3zaIRCZo2vnF/hJIeWSXVgBaO7nC3rMa\nos4dxo2DW6F4kIz6vUYguOtHAIDUiDDsmjoAdq6+qOxVHSKRCN4N20KVn4M7/+zCrSN/oiAnC43f\n/ww1336x15byyC6tADSzrwrLqr54EHYcSae3I/9RKjzbfwT31v0AAJkxN3Fl+SewcPaClYvmNko2\nXjVhalcF968cRdLJbchLT4JHm/fh3WnoC827PLJLKwATH+XhdnIWOgY548NmHnCxM8P3R6Pw88lY\nAECIZyX8ProxIu9n407yvytNnYKc4WJnVuqfbTNEeWSXVgDGpWUjPPYRujf2wogOAXB3sMKCbdew\nYo+mmGrg74ijczrjdmIGwmMfAQD+PBMNJ1tzDH27Oga1rQbXypb4Yd8tTPg1tMzbipR7dikFYFzy\nI4RHJqF72xCM6NMC7s72WPDTQazYfEyTXdsLR9eNw+3oVIRHJAEATl25B5lUgo/7NMeHXRshKycf\nn8zegr/Pv1jxb8zs/3KvaocP3mmo9ZdA9GWHRyQh5UEm+nWujyE9m8LKwhQTvt2h98/QvUgBKFKr\ny366hIeHQw3A/1Wu6qMXllLKC+X/d6kCnfedx4bdRuf/m8uJurcXEYLbBpws//9RTMzLH7J6k6XE\nvtx5gm+8mJf/SxX04v6Y1wueLvaoVavseu1/d78SIiIiIqqQWAASERERCQwLQCIiIiKBYQFIRERE\nJDAsAImIiIgEhgUgERERkcCwACQiIiISGBaARERERALDApCIiIhIYFgAEhEREQkMC0AiIiIigWEB\nSERERCQwLACJiIiIBIYFIBEREZHAsAAkIiIiEhgWgEREREQCwwKQiIiISGBYABIREREJDAtAIiIi\nIoFhAUhEREQkMCwAiYiIiASGBSARERGRwLAAJCIiIhIYFoBEREREAsMCkIiIiEhgWAASERERCQwL\nQCIiIiKBYQFIREREJDAsAImIiIgEhgUgERERkcCI1Gq1uqyNrly5ArVaDalMVh5joieKisv80fy/\nVFQkzHkri4uNPQSjUAr1510ozJ93oarI2EMwiqJCYc4bhUpjj0BQHO0sIJWIUadOnTK3lRiyQ5FI\npPn31cZFL0hiIszvuFDnLeeCPBERvQKVSvW0ZiuLQSuARERERPT/B5cciIiIiASGBSARERGRwLAA\nJCIiIhIYFoBEREREAsMCkIiIiEhgWAASERERCQwLQCIiIiKBYQFIREREJDAsAImIiIgEhgUgERER\nkcCwACQiIiISGBaARERERAIjMWSjq1evQq1WQyqV/q/HQ0REREQvQaVSQSQSISQkpMxtDSoA1Wq1\n5gvqVx4cGa5YXWTsIRhFYXGhsYdgFKpilbGHYBTKImHOu6BIoL/fhcKct6pQmK9rUBYbewSCUsW2\nMqQSwxbrDCoApVIp1FDDP8D3lQZGL+ZRwQNjD8Eo4rNjjT0Eo4jMiDT2EIwi/IEw5305JcXYQzCK\n+NhUYw/BKKLihfnzxu3Hxh6BoOz6cjW8nd0N2pbnABIREREJDAtAIiIiIoFhAUhEREQkMCwAiYiI\niASGBSARERGRwLAAJCIiIhIYFoBEREREAsMCkIiIiEhgWAASERERCQwLQCIiIiKBYQFIREREJDAs\nAImIiIgEhgUgERERkcCwACQiIiISGBaARERERALDApCIiIhIYFgAEhEREQkMC0AiIiIigWEBSERE\nRCQwLACJiIiIBIYFIBEREZHAsAAkIiIiEhgWgEREREQCwwKQiIiISGBYABIREREJDAtAIiIiIoFh\nAUhEREQkMJLXsZOjh49ixrRZuH3rNhydHPHxyOH4bPzY5/b5/bc/sHDeQsREx8LD0wNffDUe73/4\nfrlkl7h29RpaNHkLN+6Gw93d7Y3KPnH0JBbO+hZ3b0fAwbEyBg4fgBFjh5W6vVKpxKpla7F96w4k\nJ6bA2aUKerzXHaM/HwmpVPrGZIcev4jV89Yh5m4s7Bwq4d3B3dF/5HulZxcosW7xehzeeRQZ6Znw\nDfTB0C8/QsO36r9QrrGzw0/fxPbvdiHpXjJs7K3R5v1W6Di4vUF9i4uKMeu9eTA1l2Pihi/eqOzY\nCzE4vfYU0mMewqKSOYJ7hqB+vwalbp+R9Bg/9V2r017Z2wEfrR/0xmQ/CktG9NZryEnMgMzGDC4d\nqsG9S8Bz+6RfTkTstuvIic+A1EoOh4bu8O4fArH8xV7mjZndzKMuxjUbCL/KnkjPeYzN13Zj3aXt\nerftEdgOCzp8Xuq+vjqwCLtu/f1GZLer3hhzOn+KwCo+uK94hO9PbcWSYxtK3d5EZIIv2wzC4Ebd\nUdXGEZEP4jDvyDr8efWQwZkVIrtuC8z56CsEevjjfsYDfL97PZZsW1Pq9lKJFDMHfI732/RAZWs7\n3I6PxMI/fsQfJ/a8UdklXCo7I3zNEXSbPgSnwkOfu23fVt3wdb9P4e3sgdj7CZj/2/fYeFT/89NQ\n4hkzZszvUCDsAAAgAElEQVQoa6O0tDQAgL2Dnc7/hZ6/gC4du+KtVi0xY9Z02NraYtaM2TA1NUWT\npo317m/njl0Y+P5H6Pd+P0ycPAEFBQWYMXUmqtWohoDA57/QvGp2iZs3bqLbOz2QrcjG6DGjYGNj\nY3BueWXnFeXqbb984Qr6dx2AJi0bY8L0L2Bta4PFs5fA1FSO+o3r6e0zedxUbFi7CcNGDcbHY4fB\n0dEByxauRHJCMtp3bmvwvMsjO1OZoXc/Ny7dxGfvfYm6zULw8aShsLSxxNoFv0BuKkPtBrX09pk9\nZh6O7PwbQ78chF6De+B+Uhp+nLsWdZvXQRUXJ4PnXR7ZD/Mf6d3PvWtRWDz4OwQ0qoZ3P+sBC2tz\n7Fj+F6RyKfzr+pY59t2r9uH8nguo7GKPZj2aGDzn8spOy9U/7+Qbydg2/k+41/FA8+HNIbeS4+y6\nM5DIJHCp7aq3T/yVeEQcj8B7y/siuHsIancJQu0uQajetjosKlkYPO/yyE7Jzta7n8yIBwib8zcq\n1awC734hkJjLEPN7GExkYthWd9TbJ/1SAm4sOgG7oKrw+aAOLFxsEL/7FvJSsuDQ0N3geZdHdmaG\n/nkHO1fHr73m4XxCGJae/hVZymx81nQgCgqVuJJ8S2f7VMUDHIo8gz/CD2p9hVQNQH6hEgtOrEV+\nodKgeZdH9uNM/fNu6Fkbhz9Zg2ORFzFl3wpk5Ckwu/No5KkKcDbmmt4+szqPxrQOH2PZic1Y8PfP\nMJeZYWHX8bieHIE792MMmnO5Zafn68+uUQeH523GsbCzmPLrQmTkKDB74BfIUxbg7M1Levtsm7oG\nA9q9ix/3bMDcrcvxSJGBJSOmIzNHgYt3wwyftxGzS7g6OOPw/M1wsa+C9Uf+RHxaUqnb9mzWCVsn\nf49Nf+/AnC3LYSqTY+6gCbgdH4lbcRFa2/Zt2gWVrGzg5FT2+9srrwDOmTkHwSHBWPuzpnJu274t\nlEolFs1fjNFjRkEul+v0mTF1Jnr1eRfzF80DALRp1wYPHz7CrOmz0av3u//TbJVKhe9X/IA5M+fC\nzMzsZaZs9Oxv5yxFzeBAfLfmWwBAy7YtoFIqsWLx9xgyapBO9uNHGdjyy2+YMncyPh4zFADQtGUT\nqNVqzJu+EJNmTYCdfaUKn/3Tol9RrZYfpi6fBABo+FZ9FCpVWL9sE/oMexcyuUxr+5SEVBzZ+Q8+\nnz8WPQZ0BQDUbRaC8As3sOOXvxBUSuFW0bJ3rtgNj0B3DJs/GABQq1kgClWF2Lt6P9oPbAOprPRV\n1Pg7Cdi75gBsHF7sA05FyD7782k4+juh49edAACeDbxQrCpG6MbzqNO7LiQy3ZevtMg0WDpYwS3E\n8KKnomXH/BEGKy871BjdFABgF1QV6sJixO8Ih1un6jCRinX63Ft/GQ6NPVB9pObDZ6XAKlAXq5G4\n/w6KlEUQy3T7VLTssU0G4GbaPUw4uBgAcDruMmQmEoxs2A/rr+yCskiltX1GvgIZqXe12gaEdIe3\nnRt6bxmLjHyFQbnGzp7Z8RNcSbiNQZunAACO3DkHmViKye2GYtmJTVAWqnT6DGrYDZsu7cPcw5r3\nn+ORF1HPPRCjm/fDruv/vBnZA8bjyr0bGLRovCb78knIJFJM7jcay3aug1KlXUAH+QSgW5P2mPzz\nAiz4/XsAwLFrZ5FbkIf5QyZh49HtUOTqL7IrUjYADGzfG4uGTTF4+7mDvsLvJ/bgyzVzAABHr5yC\nvVUlzP7oS/x5cq/B+3nWK50DqFQqcerkaXTt3kWrvce7PZCVlYWzp8/q9ImLi0dkRCS6dHu2T3dE\n3YtCdFT0/ywbAA4eOIT5cxdgwuSvMPubWQZlVbTs86dD0bHL21rtnXt0giIrGxfO6n56yVYoMGDY\nB2jXqY1Wu281HwBAfGx8hc9WKVW4eu4aWnZqrtXeqktL5ChyERYartOnspM9fj60Cm+/2+5pm0gk\nglgihrLAsJUBY2cXKgtx90IE6rYN0Wqv/3Zd5GXnI+LyvdL7qgqxdsLPaD+gDap4Gr7aWRGyi1RF\nSLiWAL8Wflrt/q38UZBTgKTr+j8tp0WmwdFP/0rVm5BdrCpC5q37qPzMyplDYw8U5qmQcSdNp48i\n5hHy7ivg2rG6Vrtrx+potKK7wQWYMbOlJhI0cKuNw5FntNoPRJyCpdwcdV0Cy9yHnbktxjUbiM3X\n9uDG/UiDco2eLZagpW897Lyufbh427XDsDa1RDPvOnr7mUrlUOTnaLU9zMmAvYXtm5EtkaJl7UbY\neeagdvapfbA2t0KzmrqnydRw94Narcbe0KNa7ceunYWFqTneCnr+kbeKkA0Atb1r4Mcx8/Dr4T8x\nYOFnEIlEz93e3dEF/q7e2KUz3v3wreoJb2cPg7Of9UoFYEx0DJRKJfz8tV8ofXy9AQAREbq/CHdv\n34FIJIKfn/bhIx8fb6jVakTcjdDp87qyAaBe/bq4E3ULX074AhKJYS9OFSk7PiYeSqUK3n5eWu2e\n3ponQVSkbgHt5uGGuUtmwdtXu8+B3YcglUp02itidlJcMlTKQrh5ax9+c/Vy0YwtKkGnj1QmRbXa\n/rCwNIdarcb9pDQsnbICSXHJ6DGwq0G5xs5OS3iAQlURqnhpF1GOHppCIzU6tdS+u1buQVFRMXp8\nanheRcnOSM5AkaoIldy0TzuxddGsFj+K13/Y+MG9NChzCrBl5GZ813oJfuz2PU6uOoHiwuI3Ijsv\nLRvFhcUwd7bSajeronmcl5yl0yc79jEAEUwkJrg+/x+ceH8LTg36HZG/XkSxquiNyHazdYZULEHM\nY+3iOi4jGQDgbVf2edKfNRmAouIifHdmvcG5xs72tneDTCxFRFqcVvu9dM1rSjVHT739vju+CQMa\ndEH76k1gKTdH/3qd8Xb1pthw0fDz0Yya7ewOmUSGiETt94x7SbGabFcfnT7pmY8gEong4eii1e7r\nohmndxXDVt6NmQ0AcfeT4DOwKb5aOwe5BXlQq9XP3b6k+IxIema8yTEQiUSo5qY7XkO90iHgzEzN\nC4K1lfYLhtWTx1lZui8YmU/arK2t9fdRGLZ0/jLZAODs7GzQ/itqdlaW5vtj+Uy2pZUlACA7y7Dv\n34HdB7Ftyw4MHvkRrG2sy+5g5OycLM0nTgsr7XOpzC3NNf+vyNHp818bV2zBqm9+gkgkQtcPOqN+\ni7oG5Ro7Oy87DwBgZmGq1V7yOC9H//k10ddjcPCXI/h6ywRIpC/3a27MbGV2AQBAbqF9aF1mrnms\nzCnQHW9mHhQPFCguKkbLUW/B2skacZficGFzKLIfKNBp6jsVPrswV7M6LDHTPrQuMZU8+X/dQ3Kq\nrHwAaoQvPgGnZp5w6xIIRVQ6Yn4PgyqrAAFjmlX4bCuZ5ncru0D7vOccpeY5aCkzf25/OzMb9Ahs\ni58u/olspf5zpytito2Z5rUzK1/78GHJCpu1qaXefkuPbUBjzyAcGPEjAEANNX4+vxNLn3PxRoXK\nttC87mflar9nKPI0Y7E2t9LpczzsHKJT4rFi9GzkLcnHxbthCPYJxPwhk1CsLoaF2fN/ThUhGwAy\nc7KQmaO/RtA/3id1Rc4zP6fcJz8nc/0/J0O8UgFYXPz8T7YmJroLjC/T53Vlvy5vevb+vw7i08Fj\n0bBZA3w9Z+Ibkv38T0llZTd/uymCGtZCWGg41n27HgX5SkxbManCZ6vLyNZ3+EClVGHtpF/QYVA7\neNV8+cMDRs0u41OxyEQ3W2oqRe+l76GSayVYV9G8yLsGuUEsFePMT6fRaGBj2LnbV+hslLVYqCe7\nZIXRoaEbfN7XHLarFOgEdbEa0VuuwbN3bZg7G/BBy4jZJmUcBitWP39w79XuCBORCdZf2VVmVsXK\nfv5rh75sqViC059tgJOVPYb/PhN378eiiXcwpr79MXKUeRi3Y+EbkP3i3/PCokK0n9gfP3/xLY7M\n3wqRSITkh/cx5odp+HPKKuTm51X47JdR1vtLWe/Lz/NKBaDNk9UbxTNXs5WsgOm7utXmycqf4pmV\nvqd9rA1bEXqZ7NfFmNklK6c5z2QrsjSPrWx0P73815oVP2HO1/PQtGUTrPttNWQy2XO3ryjZltaa\nT+m52c98SldoHltYP/8KT69qngCAoIa1UVhYhHWLfsWISUPgWLXsc7aMmW1mpblYKP+ZVaeS1Tlz\nK92LibYt3QWoga4jO6O4qPhJQaOGWi1CcVExTMSGfUAxZrbMQnMxkTJX+3xJZY7msdxC9yIriVwC\nj3q6Rad3Yx+cXnsKaZEPDCrCjJktMdesvhXmF2q1F+aptP5fq4+ZBIAI9nW0T1GwD66K6C1XkR37\n2KAizJjZCqVmNcNSpv2cKll9UxQ8f2Xtbb/mOB17+YUuvqgI2ZlP+liZar+GlKy+ZebpXljQK7g9\nalX1Q9vvh+F45EUAwOnoK8jKz8bKXpOx5uw23E4t+1x6o2bnPMk20169Kll9K22FLCY1Hq2+6A17\n60qwt66EyKQYeDi5QiQS4ZFC/90jKlL2y3g6XvNnfk5PVv4yc1/8eVfilZaqvH28IRaLEXUvSqs9\n6p7mCVC9ejWdPv7V/KFWqxH1zMUeUVHRmuPZNarr9Hld2a+LMbM9vN0hFosRE6V93kZsdCwAwK9a\n6bfmmPrFDMyaNBfdenfFxp2/wNzC8GVrY2e7eFaFidgEibHa5+kkxmgee/rpvvmmJt7Hni37oVJq\nH7qqVktz7uaD1IcVPtvR3QEmYhPcj9c+Af9+nOaxs4/uaQWXDl1GSkwqhgePxuDAERhScyTuXozE\n3YsRGFxzBE7v0n+RUkXKtnWxhYmJCR4nPtZqf5ykeWznqVtMPU58jLC/rqHgmYK1sEBT0JhXMuzK\ne2Nmm1WxgshEhLxU7Rf1kscWLrofLs2crQGodc65Ky7SrGSaGHghhjGz4zNSUFRcDI9KVbXaSx5H\nPSr9YjFHCzsEOPlg390TBmVVpOyo9AQUqYvgW1n7PENfB83j2/d1iyn3Sprfu2dv03Ly3mWIIEJg\nlbJvz2T07JQ4FBUXPT2H7ml2Vc3j2/G6F5jJpXL0b90DHk6ueJj1GBGJ0VCr1ajrVxtqtRpXIm9U\n+OyXcTchCiKRCL5Vtc+X93XxhFqtxu04wy86etYrFYByuRzNmjfFXzt3a7Xv3L4Ttra2qNdA975w\n3j7e8PTyxM7tO5/pswu+fr4G3xT5ZbJfF2NnN2zaAAd2a18RtG/nftjYWiO4XpDefvOmLcAvq9Zj\nxNjhWLFuKSSSF1/8NWa2TC5DcKMgHN93Sqv92N4TsLSxRECI7geH1MT7mDd+EU7s1+4TeuwiJDIJ\nPHwNe64ZM1sqk6JaPT9cOnxFq/3iocswtzaDd23di2jGrf4UM7Z9jRnb//3yCHCHZ6A7Zm6fgpBW\n+n9OFSlbIpPANdgVkSe1X9wijt2FqaUpnGvoFp85D7NxZPFhRBzTvj3Hnb9vQ24hh1O1KhU+20Qq\nhk0NJzwI1S46HpyPh8RcBivfyjp9bGs4QiyXIO1MrFZ7+sUEiMQmsPF3qPDZyiIVLiaGo72f9jmD\nHfybIys/G2Epd0rtG+RcQ/MmrOd+fRU+u1CFk/cuo2eQ9v1QewW3R0aeAhfidO8wUHKvvebe2ucS\nN/OuAzXUiH6YWPGzVUqcDA9Fz2YdtbNbdEZGdhYu3NG9B6GyUImVo2djWKf+T9tMTEzwafdBiEqJ\nw43Y0n9OFSX7ZUSnxCEmNR69WnTSHm/zzohMikHCg+SX3vcr3wjazc0VixYsxs2bt2BlaYlNGzZj\nyeKlmDpjCpo1bwaFQoGwa9chN5XD3Fyz6mNjY42F8xfjQdoDiMViLFu6HFs2bcWy779DjYAaBg/+\nZbL/63rYdezdve+lbgRdHtml3Qi6qqszVi7+EXduRcDS0gJ/bt6OH5euxhdTxqNRs4bIVmTjxvWb\nkMvlMDM3w42wm/hs+OcIrheE4WOGIiU5VevLytpK5z52pSmP7NJuBO3k4oiNyzcj6k4MzC3NsP/3\nQ9j8/VYMmzAYIY2DkJOdi8jwSMjkUpiam8LJxRE3Lt3E3q0HYGFlAUVmNv5Yux07fv0LQ78YhAYt\nDS/UyyO7tBtB2zvbYe+aA0iMSIKphSlO7zyL/esOoeeYbqhe3x952fmIvx0PqUwCuZkc1vbWsHW0\n1fo6v/cCpDIJ3hneETJTww+9l0d2aTeCtnKyQuim80iPTofMXIabB27g4tYLaDqkGdyC3aDMLUBa\nRBrEMjGkplJYOVkj+XoSbuy/AampFMpcFa5uu4yrO66gxciWcAs2/C/ulEd2aTeCNq1sgfidN5Cd\nkAGxqQSpJ6KR8NdNePUNRqUAJxTmqaCIfQQTqRhiuQQmEjFMZGIk7LkNVWY+TKQmuH8qBnE7b8Ct\ncw1Urm/4vMsju7QbQacoHmBEw77wr+yJHGUeegS2w/AGfbDs7AZcSroBC6kZAhx9oSxSIr/w35XW\nztVaIrhqDSw4oftXWAxVHtml3Qg6PiMVk9oNRc2qflAU5GBgg274qs0gTNv/PU5HX4Gl3BzBrtWR\nX6hEniofEQ9i0aFGMwxp3APZBbmwlJujb52OmNN5NPbfOoVlxzcZPO9yyS7lRtDxacmY1G80anpW\ngyI3BwPb9cJX743EtA2LcfrGBViaWSDYtybylQXIK9Dsw8rcEmN7DEFGdhasLSyxePg0tA5ugoGL\nxuFecqzh8zZi9n95OLnio/Z98Ovhf28ErS87IycLk/t9CsdKlVFYXITPe32MD9u+i09WfI3b8dof\nVF/kRtCvXAB6enmiVlAt7NqxC6t/XIP4+ARMnDwBY8eNAQBcOH8B7Vq1R0BADdQOqg0AqB1UG87O\nzti65Tf8/NMvUCgUWPDtAvTu06vMAb9q9n+9SgFYHtmlFYDunm4IqFUD+3YdwPo1G5GUkISxE0Y/\nvdHy5QtX8G779+Bfww+BtQOw4adNCD1zAfdT7uO39X/ofL3VtgVc3fX/dQNjZJdWAFZ1d4ZvgA+O\n7z2B7b/sQmrifXw07kP0G9EHgOavdXzSfSy8qnnCL9AXIpEILTs1R7YiB7s37cOujXuQo8jFyK+H\noffQngbNtzyzSysAHVwrw72aGy4dvoy/txzHw+SH6DryHXQYpLnHYNS1KHzzwSK4+FWFe3X9b/an\nd56FiYnohf8SSHlkl1YA2jjbwtHXERHHI3Btx1Vk3c9C44FNUK+v5j5dyTeS8dvorajsWRmOfo6a\n20u18IcyV4kb+2/g+u4wFGQXoPnHLRHcPfiF5l0e2aUVgGaOlrDwrIT08/FIOhSBggc58OhVC+7v\naP5KUmZEOq5OOwxLNxtYempek238HWDqYIG0M7FIOnAXefcVcO8WCK8+hq24lmd2aQVgYtZ93EmL\nxtv+zfFBcFe4WDvih/Nb8MvlHQCAkKo1sLXvt4h8GI87D/49PNmpWgu4WDvh58sv/2exyiO7tAIw\n9lEywpIj0CuoHUY17wsPu6qYc3gNvju+EQDQyCsIJ8f+ilupUbierLlN2m9XDsDJyh4jmvXB0MY9\n4WZbBctPbMbnuxaXeRFTuWeXUgDG3k9AWNQt9GrRGaO6fgQPJ1fM2bwM3+34SZMdUBcnv92OW3ER\nuB59GwBw4vp5yKQyfNJlAAa174OsXAWGffcVjlw+afCcjZ39Xx5OrhjYrpfWXwLRlx0WfQvJD9Pw\nQZueGN7pfVibW2L8qll6/wzdixSAIrUBz5bw8HCooYZ/gGHH9+n1eFTwwNhDMIr47FhjD8EoIjJe\n/lyON1n4A2HO+3JKirGHYBTxsaXfP/L/s6h4Yf68cftx2dvQa7Pry9XwdnZHrVpl/7Wp/939SoiI\niIioQmIBSERERCQwLACJiIiIBIYFIBEREZHAsAAkIiIiEhgWgEREREQCwwKQiIiISGBYABIREREJ\nDAtAIiIiIoFhAUhEREQkMCwAiYiIiASGBSARERGRwLAAJCIiIhIYFoBEREREAsMCkIiIiEhgWAAS\nERERCQwLQCIiIiKBYQFIREREJDAsAImIiIgEhgUgERERkcCwACQiIiISGBaARERERALDApCIiIhI\nYFgAEhEREQkMC0AiIiIigWEBSERERCQwLACJiIiIBIYFIBEREZHAsAAkIiIiEhgWgEREREQCI1Kr\n1eqyNrpy5QrUajWkMml5jImeKFYXGXsIRlFYXGjsIRiFqlhl7CEYhbJImPMuKBLo73ehMOetKhTm\n6xqUxcYegaBUsa0MqUSKOnXqlLmtxJAdikQizb8QvdrI6IWIRQb9eP7fEYuFOW+52NTYQzAOfq4k\nInotVCrV05qtLAatABIRERHR/x88B5CIiIhIYFgAEhEREQkMC0AiIiIigWEBSERERCQwLACJiIiI\nBIYFIBEREZHAsAAkIiIiEhgWgEREREQCwwKQiIiISGBYABIREREJDAtAIiIiIoFhAUhEREQkMBJD\nNrp69SrUajWkUun/ejxERERE9BJUKhVEIhFCQkLK3NagAlCtVkOtVgPq4lceHL2A4kJjj8A4ipTG\nHoFxFBYYewTGoRLmvItVKmMPwSiKCoX5PlIgzGlDJdB5G4uZvRPEEsMW6wwqAKVSKaAuRi1fl1ca\nGL0YdWaCsYdgFOq0e8YegnHEhxp7BMYRE2bsERhF9r3bxh6CUaTGPDL2EIzi7iNhnnF1N1Nk7CEI\nSuul21HJ1cugbYX5jCQiIiISMBaARERERALDApCIiIhIYFgAEhEREQkMC0AiIiIigWEBSERERCQw\nLACJiIiIBIYFIBEREZHAsAAkIiIiEhgWgEREREQCwwKQiIiISGBYABIREREJDAtAIiIiIoFhAUhE\nREQkMCwAiYiIiASGBSARERGRwLAAJCIiIhIYFoBEREREAsMCkIiIiEhgWAASERERCQwLQCIiIiKB\nYQFIREREJDAsAImIiIgEhgUgERERkcCwACQiIiISGBaARERERALDApCIiIhIYFgAEhEREQnMaykA\nDx89hgYt2sPCwQPegfXw7bIfyuyz9Y8dqFmvOcwruyOgblNs2Px7uWWXuHrtOmS2VRGfkPjmZR8/\nh4adPoSlTxP4NOqCb1dtfO72SqUK3yxfh4AWPWHl2xQ1mvfE7KVroVKp3qzss+Fo9P4MWDUaCt/O\nn2PJhgPP3b5AqcLXy/+Ed8fxsGo0FM0GzMLhs+EvnGv07GvxaPTVn7Dqtxq+IzdiyV9XDe5bVFSM\nRl/9ibbTdr152Xcfo9F312A16Sx8517EkuPP/32JSs+D5IvTOl/Bi6+8Udl/JyjRansGnNc+RO1N\nj7HiWl6ZfQ7FKdF6eyaqrH2IgA2PMfF0DnJV6jcq27xOO7h/dx6+OxXw/PkeKvUcX+q21m0HwG9f\nYalfVq0/eGOyqzRsh/Y/n0Pv45nosiMC1fuPe+72IhMT1BjwFTr/eQu9jmWgw4aLcGvT64UyK0K2\nT9O2GPbHWUy+koGxR+6i8aDPnru9WCpFm/FzMO6fKHx9NRPDt4cisGPvNy67hLWTCyaEpsGjXrMy\nt63Z+T18svsqvr6aiVF7wxDU7cWeY/qIZ8yYMaOsjdLS0gCo4WRnrfN/5y9cQvuufdC6ZTPMnT4Z\ntrY2mDZ7PsxMTdG0cUO9+9u+aw/6ffQxPuzXG1MmjEdBQQGmzJyHGtX8EBhQ3eDBv0x2iRs3b6Nj\nj75QZGfjs1Efw8ZGd25Gzy7I0p99+Tre7j8KrZvWx5wJo2BrbYXpi36EqVyGpg2C9fYZNXk+flz/\nJ8YO64/PR3wIJwd7zF32E+KT7qNr+5aGz7s8snPS9Gdfv4cOIxehVf0amD26F2ytzTH9h+0wk8nQ\nNMRfb59BU9di64FzmD6yB0b1bYf41If4esWfaF0/AO7O9obPuzyyHyfpz76big6zdqNVLVfM7t8Q\nthZyTP/tAsykYjSt4Vzm2Odtv4wtpyLg6WiNAa0M//0qt+yM+/qz47LQYfVNtPK1xeyOHrA1k2D6\nwXiYSUzQ1Ev/78yxe5nYHpaOv0fWwogmzhjSsAqGNKyC94Id4GglM3ze5ZCtfJSudz8XU1XosVeB\nFi4yTGloDlu5CeZezIOpWIRGzlK9fQ7EKtH/oAKt3aSY2cgCfpXEWBmWj3sZRejqLTd43uWRnZ2h\nv6A0rd4QLnMPITfsGB5umIrinEzYfzgLamU+8m+d1dle9SABOWd2IOvQOq0vsxqNoVbm4cG6r6BW\nll28lld2Sp5Ib7Z9zYZotfwA7l8+huurp0GVnYlaw2eiuCAf6dd1swGg1vCZqDlkCiJ+X4HbGxdB\nbGqOkE8XIOPedWTF3TVozuWV/bBA/7xdgxriw3UHEBt6HP8sm4b8rEy0GjMThQV5SLh6Tm+fPst+\nR1D3D3Fp62qcWjUPeRmP0GHiYuRnZyE5/JLB8zZmdgnrKq74cN1+WDm5IGzXBmQmx5e6bY32PdDr\n2024vmcLTq76BhKZKdp8NgvpUXfw4N4trW29OrwHM+tKcHJyKnMMIrVaXebHtPDwcEBdjFq+Ljr/\n93bX3shSZOPcsX9XQyZOnYVV69bjfswtyOW6LwDVQxqjTlBtbPl19dO2vgOH4WpYOO5eO1/moF8l\nW6VSYfkPazF97gKYmZnh0aPHiLl1Ge5urgbnlle2OjNBb3uHfp8gKzsHZ/es/zd77nKs3rgNqWFH\nIZdrv9k8epwJx1ptsHDqZxj/8b+fGhZ+/ysmz1uJ+9ePwt7O1qB5l0e2Ou2G/uyRC6HIycOZDdOf\ntk1a9jtW/3kMKf+sgFym/QYVl5wO33c+x4pJAzGid2vNvtVq+Hf5Eg1r+WDTvJEGzbncsqND9WfP\n2g1FrhJn5v/7KXvSxnNYfegGUn4ZDLlUXOq4w2LS0WzydthayFGtqi2Ozupu8JzLLTsmTH/26htQ\nFBThzJigf7P3xmL1uRSkzGwIuUT3AMa0A3HYeDkNMVPqGzhD/cojO/vebb3tPfZmQaFU42hPm6dt\n05imOV8AACAASURBVM/n4JebBYj8qBLkYt031JAtj1HHQYJ17ayetq0Oz8Oq8Hyc62MLU4n+N2Fj\nZKfGPNKb7TLnAEzMrZEwvunTtsqD5sGm08eI7l8FapWyzPHbdv0UDsMWI358ExREXi5z+/LMvvxI\n/wG3t5bth9TCGkeG/rsKFPTJN/DtORw7O1ZFsZ7sbnvikHrhKEJnD3na1nbtKRQV5OHY6PZljrU8\ns+9m6n/uffDTPsgtrbGub/N/9zN+Lur1HY5FTV1Q9Ex2lepB+HjHBfy9dApOr130tL1+/5Fo+/lc\nLGnhgYIchUHzNmY2AAT3GIB2X84HAJjZ2GH9wLaIu3S61O1H7w9Hyq2r2P7FgKdtvb7dhCoBwVjZ\nsabWtq2XbkclVy/UqlWrzHG80iFgpVKJE6fPoUeXTlrtvXp0RVaWAqfP6r6hxcUnICIyCt27dNTu\n070L7kXFICo65n+WDQD7Dx3F7AXfYspX4zF/1hSDsipWtgonzl9B9w6ttLPfaYssRQ5OX9A9PJeV\nnYMRA3qhS7sWWu3Vfb0AANHx+leeKlS2qhAnL99F91b1tNrfbVsfWTl5OH01QqePs4MtQjfPxPud\nGj9tE4lEkIhNkK80/PCzcbOLcPJmMro39NbObuyDrDwlTt9OLrWvqrAIg1YcxZjOteFf1bACv8Jk\nFxbjZHQmutfUXil9N8geWQVFOB2tf3X8WnI2gqpavHBehckuUuNMsgrveGl/kOrmLUeWUo1zKYU6\nfa6nFyImsxgf1zLVav+4lhmu9q9kcPFnzGxIpDCr1RLZZ7VPFVCc3gYTc2uYBpZ9iExs4wD7AbOQ\nsffHFyr+jJltIpHCMaQFEo9rZyf8sx1SC2s4BOnPFstNUZirXXAoMx9CbmP3RmSLpVJ41m+BO0e0\ns28d3gG5pTXc6zbV6VPZpzrUajUiju/Xao8NPQ6ZmQU8Gxh2JMuY2QDgVK02Ok9fiWs7N2DnhEEQ\niZ7/O2JT1R32nv64c3S3znjt3H1Ryc27lJ5le6UCMDomDkqlEv5+Plrtvt6aN/e7kfd0+ty+EwGR\nSAR/X90+arUadyN0+7yubABoUDcEsbeuYOIXYyERSwzKqlDZcYlQKlXw9/bQzvZ002RHxen08XSr\nipXfTISft7tW+64D//wfe/cd1tT1/wH8HTKBBBAE2Xuj4sSJe1XrXq2jtnbXql+ttXXVVa2rWndr\nW617VMVdR6t1zyo4AdlblpAws+7vj4DtJYlE7I/E5vN6Hp7HXO7J+9xIkk/OPfcEfD4PgTW2m2R2\nRi7kCiUCvJzZ2R6aYe74lGytNgI+Dy1CvCGxtgTDMEjPKcCUZTuQlJn3bFTO5LOfSCFXqhBQo4jy\nd9GM0MRnFultu2DfTShVDOa9EWFwnslkF1RArmIQ4GjJzm6ouR2fp/vUXkxmKWQVKkSujYH1F1fg\nNu86Zh5PgVJl+Hw0Y2anSNWQqwB/O/bIqq+t5qX6cZFKq829fCU4HIDP5WDkCSmcfyyA9+ZCzLhc\nCvkrks139gWHJ4A8k/1hSpGleS0VuAXVeh8OYxcAahUKts8xONfY2dZuvrDgCyBNY2fLMjTZEi/d\n00vi9qyBd9+xcG7TCzwrMbx6vwnntr2QfGLHK5HdwN0XXL4ABSmPWdsLUzXZDX20H/Oyp/ngcDiw\ndWW/Z9h7at6HDS2EjJkNAMVZqVjTKwhnln8JRUUZajsJ6+irKT61+5sIDoeDhj66/58MUbcqpEqx\nVPNJ2EYiYW2XSMQAAKlUe0j0WRsbPW1kJf9v2QDg4uKsc/uLMGp21eNjI2GPNEjEVppsWalB9xP1\n21ls238cE999A7Y1/i9MMrtE86ZrI2a/KUusNbelpc+f67NsyzHMWrsfHA7w3pAu6N4mzKBco2eX\nVWqyrdijMhKR5pSztFz3qambj59g5ZFoXFg0BHye/tO0JptdoSk2bETs9hKh5ra0Qns0qqBUgUyp\nHCoGWPq6NzwbCHH2cRGWns1ARnElto2q/Y3c2NlSuVqTxWePClTflsm13yzyyxkwDDD2pAzDAgSY\n2MwSt3OVWHyzDPnlavzYw7DnmDGzudaaDxXqMvboqrpc81pqYfX8Odpc24aw6T4WTw+sgLrM8FNx\nxs4WiDXZyhqnD6tH2PjWurPjdn+Hhk3aost3xwBoppckHd2CuN3fvRLZQokmu7KE/ZhXn0YVirX/\nblJunMfT9CT0nf0djlSUI/P+LTgHh6PHZ4vAqNXgW1qZfDYAVMiKUSErNnj/2vv7Ytcv/NNLFYBq\ntfq5v7ew0B5gVKufX+1aWBh2yqAu2f8W086u/fE7eOIPjPl0Njq1bYGlsyb/N7I5z3/M+3dugQ7N\nA3H5TjwW/HAI5RVy/PL1h6afXcsgioWO0weVChXGr/sDU/o3Q0s/J4NyTC+7ltcJHdnWAi5OfdAY\nAY4ieDbQnJKM9LWFgGuBr06mYlYPDwQ51f5Cbdzs5/9e11NMXtWov68A89pqPpx1dOVDxQALrpfh\ny9Yq+NnWXogbMxu1PIfAPP85aNvnfcDCAk8Pr6k961XK1vHaY8Hjo8em8xDZN8KNbz6CLC0eDZu0\nQ9j4WVBVlOL2qs9MPptTy3skoyNbrVRi+7t9MXDxjxi7+SQ4HA5kuVn4bdEUDP9uDxQVhl3wY8zs\nuqhLfw31UgWgrY2m8pSVsEftqkfAdF3dWj3iI5PpaWNjWDVbl+x/i3Gzqx6/kjJ2dtXom62N+Lnt\nV23agekLV6Nbh9Y4uPlbCAS6r+wzueyqUUZZjdG26tE3G4mlVpt/CvXTXMDUsXkQFEoV5n8fha8n\nDod7o9rnrRg1u2r0TVZjtK169K3m6BwAzN55DQwDzBrWCiqVGgw0n9LB4UClUoPLNewDilGzRZqX\nJlkl+7SjtHp0zlK7qBDxLdA9UHu+Yd/QBphzMhUxWaUGFWHGzLYRaKqskhpLqEirblf//p8kfA44\nHKCXF/v51MODj/nXNPP0DCnCjJmtLtOMiFhYskdfqkff1KXPHzERdxiCstunoZbpvsDEVLMVVffN\ns2a/dvKqRt/kOrI9ug2FrV8TnJvYG7l//QkAyIu+BEWpFC2nrUHCoZ8gTdZ9gZGpZFdWjYAJrNmP\nefVoVkWJ7nm2TzOS8ctbPWBl5wDLBg4oTHkMW1cvcDgclBcb9vgbM7suau+v4aOJNb3UUJWfrze4\nXC4SEtkXbiRUXcgREhSg1SYo0B8Mwzzb559tOBwOQoINO59dl+x/i1Gzvdw12SnsK4Srb4cE+Oht\nO2n2MkybvwpvDuqN4zvWwNrq+YWLSWV7OIHLtUBiOnuJmIQ0zRIiIT6uWm3SsvOx+dB5yBXsU3bN\ng70BAFm5T00/29kWXAsLJGazn+QJVbdD3LWLyIPXEhGXVQTJqB8gHLERohEbceFhFs4/yIRo5PfY\ndi7W9LMbisDlcJCYzy66E6puh+gophLyy7Hpao7WKdpyheYTsqPYsA8cxsz2seWCawEkFbOLz6Ri\nzf0ENdAupvxsuWAYQF5jil5VNCx1XLlratmK7ERArYLA1Z+1nV91W56uv6jg2rtA6Nccsgv7DMoy\npeySjEQwahUk7uzs6tvSZO3ni5WzZh5azWVacu9c1MxT8wk1+ezCtESoVSrYe7Hn0dt7arLzE7Uf\nc55AiCavvwk7Ny+UFRWgIDkeDMPAtXELMAyD7IeGrU9qzOy6yE/WXDeh3V8/MAyD/ETDXlN1eakC\nUCgUolOHdjh45Bhr+/6oo7Czs0VEqxZabfx8feDj7YX9UUfZbQ4dRYC/r8HLsdQl+99i3GwBOrVt\njqgTZ9nZx36Hna0EEc0a62w3Y/FarN+yF599NBbb1n4NHu/FB3+Nmi3go1OLIET9wV5v6cDvN2En\nsUJEY+1JuKnZBfhg/mZEnWW3OX31HgR8HoK8a1/HzujZfC46hbog6loSO/tqIuyshYgI0D7NemRm\nP1xfOhw3lo149tPC1xEtfZ1wY9lw9G/tbfrZPAt08rVB1L0CdvbdfNiJeIjw1J6nky2V45MDCfg1\nhr2+3t47+bAVcdHS/fkj1CaRzeWgvQsPR5PZo66HEythK+SgpZP2c6e9Kx/WfGD/40rW9hMpcvAt\ngAhnw55vxsxmFHKU378AcfvBrO2SjsOgLi1CRdwNvW0tg9sADINyHev1mXq2WiFH7p2LcO/Czvbo\nNhRyWREKHmpnS1M0b/iOzSJZ2x2bdQDDMCjJMmwlDWNmqxRypN66iJCe7OzQ3kNQIS1C5t2bOtv0\nnbMaLYb/vfwMx8ICEWMm4Gl6InLjdS8fZkrZdfE0PQlPM5IR2nuIVn8LUx+jOFv3cnGGeOmFoD3d\n3fDNitW4//ARJGIxtu7ci2Wr1mHB7C/RqWM7yGQliL57DyKhEFZWmk/OdjY2WLziO+Tm5YHH5eLb\nNRuwffev2PjdMoSGGDZZuq7Z/xRz9z4OHz9Zp4Wg6yVbz0LQHq7OWLJuCx7EJUIitsLWX49h+YZt\nmP/5x+jUtgVkJaWIvh8HkUAAKytLRN+Pw9uTv0JE8zBM/XAMMrNzWT+2EjGEAsMWya2XbD0LQXs4\n22PJ5mO4n5ABibUI245exPKtJzD/k6GIbBkMWWk5ouPSIBLwYWUphKezA67GPMYvhy7ARmyFIlkZ\n1u46jY2/nsXcjwajR1vdBavRsvUsBO3RUIwlB2/jfloBJCI+tp2Lw/JDdzD/jQhEhrlBVi5HdHIe\nRHwurIR8ONlawcXemvWz59JjCPlcfDGkJSwFhhfg9ZKtZyFojwZCLDmbgfs5ZZAIudh2MxfL/8zA\n/D6eiPSzhaxCiejMUoh4FrAScOFpJ8TlZBm23nwCawEXskoV1l3KwvrLWVjSzweRfrY6c4yVrW8h\naHcxFytvl+NhoQoSPge74iqxOroCs1pboYMrHzI5g3v5Sgi5HFjxORBwORBxOVh3twL55WoIuRzs\ni6/Eytvl+LipCH19DF8Iuj6y9S0ErchLh/3IGRB6hUFdLoNNj3GwH/45CrbPRfmDS+BYiiHyawa1\nogJM5d/3IY4cAcvgtsj/ebrBx2mMbH0LQZc9SUfouC9g5xcGZVkJfPq9hZAx03D/x3nIi74EnpUY\nDQKbQSWvgKqyHLK0eLi26w3fAe9AWVYCnpUYnj1HoumHC5B95TfE7zF8LmJ9ZOtbCLo4Jx2RH3wB\np4AwyEtlCB80Fh3fm4Zza+ch7a/LEFiL4RzSDKrKimdz7IRiCdqOnYgKWTGEYgl6TV8G3zZdEfXl\neBSmJRp83MbM/ic7Ny80HzwO0VF/LwStK7tCVozID7+EtYMT1Gol2r8zFeEDx+D4gonIqzFi+SIL\nQb90Aejj7YnwJmE4cOgo1m/agtT0dMz+YiqmTtIsdHvtxk106jUAYSFBCG+qedNr1rQxXF2csWPP\nfmzash0yWQlWLV2IkcMGa93/89Ql+59epgCsl2w9BaCPpxvCQwNx4Pgf2LD1V6RlZGPW/957ttDy\ntb/uofOQ9xAa5IfwsEBs3PorLl6/g6ycPGzefVjrp3eXdvBy1z6NabRsPQWgj5sjmgZ64ODvt7Bh\n3+9Iyy7ArPcGYMpYzZqS1+4mosu7ixDq54bwIE9wOBwM7t4KxbIy/Bx1HpsOnIO0tAKLJg7Hp2/2\nNOh46zVbTwHo08gGTb0dcPBqIjacvI+0PBlmDWuNKQM037xyLT4HXeYcQqi7PcJ9Guq8j23nYmHB\nwQt/E0i9ZOspAH3sRWjqao2Ddwuw4XI20p5WYlZPD0zprDlLcC1Vhi7r7yLU2QrhrmLNY97EAbJK\nFX65mYsfr+WgqFyJRX298WF7w0Zc6zNbXwHoZcNFYwcejiTJ8eP9CqTL1Pi8pSU+baaZNnHziRKv\nHZYi2J6HJg01BXWEMx+eYgscSJBj0/0KJEvVmNTMEjNaG351Yn1l6ysAlU9SUJkUA3HHobDrPwH8\nRl4o3LMIRVGaq0stQ9rCY9l5yNMeQp5891k7SeRw8Bt54WnUqhc61vrO1lcAlmanoCghBh7dhiBg\n2CewdvbEw18WI273agCAQ+O26P79OUiTH6IoQZOddmYvRA6N4D/kA/gNfBdWjdwRv28d7qyeBtT+\n3Q71mq2vACzKTEVO7F2E9h6K1qM/hp2rJy58/w2ubdVkuzdrg3d2nENe4iM8idNkp968AC5fgNaj\nPkLzIeNQWSLFka8+QtKV3w0+ZmNn/5OdmxfCB41lfROIruwnsXchy8tG0wGj0GrE+xBaS3Bq6ed4\n8NuvWvdZr98EQv7/6PsmkP86fd8E8p+n55tA/vP0fBPIf52+bwL5r9P3TSD/dfq+CeS/Tt83gZD/\nH/X2TSCEEEIIIeTVQwUgIYQQQoiZoQKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZ\nKgAJIYQQQswMFYCEEEIIIWaGCkBCCCGEEDNDBSAhhBBCiJmhApAQQgghxMxQAUgIIYQQYmaoACSE\nEEIIMTNUABJCCCGEmBkqAAkhhBBCzAwVgIQQQgghZoYKQEIIIYQQM0MFICGEEEKImaECkBBCCCHE\nzFABSAghhBBiZqgAJIQQQggxM1QAEkIIIYSYGSoACSGEEELMDBWAhBBCCCFmhgpAQgghhBAzQwUg\nIYQQQoiZoQKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZDsMwTG073b59GwzDQMDn\n1UefSDW10tg9MA6V3Ng9MA5lpbF7YBwK8zxutUJh7C4YhUqpNnYXjKLSPA8bCjM9bmOxdGgELo+P\nFi1a1LqvQRUdh8Op+gcNGNYrrsDYPTAOcz1ugdjYPSD1yFxfTc31uPnG7gAxCwqF4u+arRYGjQAS\nQgghhJD/DnP9MEYIIYQQYraoACSEEEIIMTNUABJCCCGEmBkqAAkhhBBCzAwVgIQQQgghZoYKQEII\nIYQQM0MFICGEEEKImaECkBBCCCHEzFABSAghhBBiZqgAJIQQQggxM1QAEkIIIYSYGZ4hO925cwcM\nw4DPp6+zJoQQQggxRQqFAhwOB82bN691X4MKQIZhwDDMS3eMvBi12jwfc5XKPI9bqVIbuwtGoVSo\njN0Fo1AqzfP/Wy03z/9vlZn+navk5vl3bix2zpbg8bkG7WtQAVg98hcaElb3XpEXJpNWGLsLRpFX\nUGbsLhhFWnqxsbtgFGmJ+cbuglGkpUuN3QWjyL3/xNhdMIrch+b5d54XV2jsLpiVmYd6wMW3gUH7\n0hxAQgghhBAzQwUgIYQQQoiZoQKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZKgAJ\nIYQQQswMFYCEEEIIIWaGCkBCCCGEEDNDBSAhhBBCiJmhApAQQgghxMxQAUgIIYQQYmaoACSEEEII\nMTNUABJCCCGEmBkqAAkhhBBCzAwVgIQQQgghZoYKQEIIIYQQM0MFICGEEEKImaECkBBCCCHEzFAB\nSAghhBBiZqgAJIQQQggxM1QAEkIIIYSYGSoACSGEEELMDBWAhBBCCCFmhgpAQgghhBAzQwUgIYQQ\nQoiZoQKQEEIIIcTMUAFICCGEEGJmeP/GnZw+cxpfffUVHj58gEaNGuHjjz/B1ClTn9tmz57d+GbJ\nN0hKSoK3tzemfz4dY8e+VS/Z1e7cuYP2HdohLjYenp6er1T22XO/Y9GiBYiNewRHRye89+4H+HTC\nZL37y+VyrF23Gvv27UZmVgZcXdwwfPhI/G/yZ+Dz+a9M9qVL57Bq1TdISIiDg4MjRo8ej3ff/eQ5\n2ZVYu3Y5jh07iMLCAgQHh2HixM/RsWPXF8o1dvatWxexZfMqpKY+hl2Dhhg4YDSGj3jPoLYqlQqT\nJg6HpaUVVny745XKvv/gOqIO/4DMrCTY2NijW5eh6NNrtN79c3MzMGPOcK3tbq6+WDB35yuTnZB4\nC2f/3Iq8vBRYWzdARKsBaN9u2HPbxD++jvMXduBJbgqsrCQICY5E927vQMAXvTLZweEu6D8qHC4e\ndpAVlePCyXj8ceSRzn3bdPHFmE/b6b2v7Wuv4Mb55Fciu2kHT7w5uT3c/R1QXFCGk7ticGzLbb37\nW1hwMODdlug6NAz2jtbITi1C1KabuHryscGZppDdqqcf3v26O7zDnPD0SQkOrb+BfSuv6N2fx+fi\nnfld0WN0U9g2tELqo3zsWXYJ5/bdf6Wyqzm62WDzvQmYNXAX7l5Mfe6+3d5ogrGzOsHFtwFyUoqw\na8lFnN4eU+dsAODOmzdvXm075ebmajrr6KT1u2vXruG1vn3QtUtXLFi4EHZ2dpg3by5Elpbo0L6D\nzvs7ePAARo8ZjdGjx2DmzFmorKjEnK/mICQ4GGFhYQZ3vi7Z1e7fv4/X+/eDTCbDpEmTYWtra3Bu\nfWXLK5U6t9+8eQNDhw1AZGRnzJ41F7a2dlj8zUKIRCK0baP7RWna9CnYvPlHfPTRBHw6YTKcnJzw\n7cplyMhIx2t9+hl83PWRXVau0Hk/0dG38M47I9C2bUdMmTITNja2WL16CYRCEVq2bKOzzRdfTMSx\nYwcxadJ0jBnzLrKyMrFy5ddo2zYSrq7uBh93fWQXSyt13s/Dh3fw5Rdvo1mzdnhn/FSIrW2wdet3\nEAiEaNy4Za1937VrI87+cQTOzu7o1XuIwcdcX9nFT8t0bk9Muo+VqycjJKglhgz6CFZWEhw68iME\nfAEC/MN1tnkUewu3/jqH6VPXo0vnIejUcQA6dRyAiNY9YWNjb/Bx10e2vv/v9IxH2LFrJny8w9Gt\n69sQicQ4d34beDwBPD10vz7GxV/Fnn3z4OfXCj27v4eGDT1w9dp+FBRkIDSko8HHXR/ZpbmlOu/H\nO7AhPp3bHY/vPcHRXTEoL5Pj9TfCoVCokBSbp7V/UX4poq+l48rvCawfn6CGUMhVOLT1NhRylUHH\nXR/ZpXm6/84Dwp0x5+fBeHA9A7tXX0GZtBJvTGoHeaUScXeydbYZOakdhn3SFie2RePwz7cgtORh\nzOeRSIvLR2bSU4OOub6yywrKdd5PaBt3LD89DtHnkvHz7D9QUlSJ8Qu7QV6uxP0raTrbzN8/Er3e\naoYjG29ix6ILkBaWY8LKPigtrkTszUyDj9uY2dUc3W2w/PRbaOhmg1Nbo/EkrVjvvp2GhGLO7uE4\ns+Mutn99AQIRD+8t6o7UR3lIecj++4x8wxeSBpZo1KhRrX146RHA+QvmoXnzFti8eQsAoFfPXpDL\n5Viy5BtMmjgJQqFQq82cr+ZgxIgRWL5sOQCgZ4+eKCgswNx5czF8+Ij/12yFQoG169Zi/vx5sLS0\nrMshGz17ydKvEd60GTas3wQA6Na1B+RyOVauWoGPPpyglf30aSG2bduCBfMXYcInkwAAkZGdwTAM\nFiyci7lfLYC9vYPJZ69ZsxRhYU2xdOk6AEDHjl0hl8vx/fffYdy4DyAQsLMzM9Nx7NhBzJ27FG+8\nMQ4A0LZtR9y+fQO7dm3RW7iZWvbWravh7x+G6V8sAwC0ahUJhVKOXbs2YvCQcVrZ/5SY+Ah7dn8P\ne3vtD2+mnn3oyI/w8gzCu+98BQBoHNYGSpUCx37bih7dR4LPF2i1Sct4DPsGTggKalGnTFPI/vP8\nNrg4+2PwwM8BAP5+raBSKXHx0m60jRgEHk87+9SZHxAW2hkD+2vOQPh4h4NRq3H95iEolHLwdbQx\ntex+I5siPakQ29ddBQDExmSDx7NA76GN8eexWCiVatb+pSVylCYUsLZ16RsEZzdbrJhxEqUlcoNy\njZ09YmI7JD/Mw/oZpwEAdy+ngcfnYsiHETixLRpKhXYR23VIGC4ejcXB728AAB5cz4Bf40boMzoc\nN35PfCWy357fDY9vZ2PJO1EAgFtnEsEXcDFmZiQOrL6qVUD7hzujw8Bg/DTzD+xaehEAcOdcMirL\nFPhgSU+c3h6DMpnuD1WmlA0AfcY1w0fLexu8/3uLuuPc3vvY+PkpAMBfvyfC1sEK4xd2x5+/PjD4\nfmp6qTmAcrkcFy5cwKBBg1jbhw4ZCqlUikuXL2m1SU1NRXx8PAYOGKjVJiEhAYmJhv0B1SUbAH77\n7QQWLfoaM2fOwuJFiw3KMrXsy1cuoV+//qztAwcMhkwmxbVr2kPYMpkM4995H31692VtDwgIAgCk\npKS8Etk3blxFz57s++nTZwBKSmS4deu6VhtHx0Y4cOA0+vf/+/QVh8MBj8dFZWWFQbnGzlYo5Lgb\ncwMdO/Zibe/U6TWUlZXg/v2/9LZVKhVYtnQ6Bg8eB3d3b4MzTSFbqVQgLv4OWjTrzNreqkU3VFSU\n4nGC7lMf6enx8PAIeOE8k8lWKZCSehfBweyzCKEhkaisLENauvaLfXZOIgoLs9Emgv2a2iZiECZN\n+MXgAsyY2VyeBQLCGiHmejpr+52raRBZ8uEXUvuHCLGtEK+/GY4LJ+ORllhoUK6xs3l8C4S2dsP1\nMwms7VdPP4alWIDglq462/GFXJSXsotMWVEFJHaGDywYN5uLZp29cDGKfYr9/P4HsLIRoklHL602\nniGOYBjg6rE41vY755IhsuajWRdvk88GAL+mjTBlY3+c/OUOFr91EBzO8/dv5GkL90AHXDqk3V83\nf3u4+jYwOLumlyoAk5KSIJfLERjAftHz9/cHAMTHxWu1eRT7CBwOBwEBgaztfn7+YBgGcfFxWm3+\nrWwAaN06AokJSfhi+hfg8eo2AGrM7JSUZMjlcvj7sbN9fX0BAI8TtOdheHp6YfmylfDz82dtP378\nCPh8Pvz8/bXamFp2enoqFAo5vL39WNu9vHwAAMnJCVptBAIBwsLCIRaLwTAMsrMzsWjRLKSnp+LN\nN98xKNfY2dnZ6VAqFXB392Ftd3Pzqupbkt6227athUqlxLi39c/PNNXsvLxMqFQKNGrEnh/byElz\n6jznie75Mmnpj1FRXorFS9/HhxM6Y8q0fth/cANUKt3TKUwt++nTbKhUSjjYu7G229tr3ozzAjUy\nRAAAIABJREFUC9K12uQ8SQSHwwGXy8OuPXPw9Tf9sXTFUJw8vRFKle7pFKaW3bCRGFyeBXKzpKzt\nedkyAICTm02t9/H6G+FQqxkc2/1i86KMme3kbgsen4vslCLW9pxUzelAVx/db+7Ht95B54EhCO/o\nBZE1Hx1fD0KzDl44f/jhK5Ht6tsAPAEXGfH5rO2ZCZri2SNI+6xQcX4ZOBygkZcda7ubv33VfRo2\nxcOY2QDwJLUYo/y+w/fTT6OyTAGGef7+XlXFZ0Y8e8Q5M6EQHA7gEdTQ4OyaXuoUcHGx5g9FYsN+\ngkgkEgCAVCbVaiOtamOjp41Mqt3m38oGABcXF4Pu31SzpVWPT3VWNbG46vHTk13TsWNHsGfvLnz4\nwcewtTFs/qMxs0tKpKysatbW4qrfy57bftOmNVi5chE4HA5GjBiL9u07GZRr7OzSUs19W1VlVbO0\ntAYAlJWV6GwXG3sX+3/9Gd+t3gse78UutDGF7LLyElZWNZHICgBQXq49n6qkpBhFRXlQq9UYMexT\nONg74+GjmzhxcjuePs3F++/OM/nsykrN/Dih0Iq1XSiwrPq9dnZZaREYhsHeXxegSVhXtG83HJlZ\ncTj35zaUlhZj6OAvTT7b0krzd1JRxi4aKyo0xbPI8vl/R2IbIdp08cXvhx6iQs8cYlPMtpJoplCU\nl7BPH1ZUjbBZiXWPoB7fegeBzVwwc1PVWSiGwdkDD3DslzuvRLa1rebioNIa82CrT6Na22hfPBT9\nZzKyk55i0tq+qCxXIPZmJvybueCDJT3BqBmIrA17rTFmNgCUFFegpNjws0C191f/NJzavFQBqFar\nn/t7CwvtAca6tPm3sv8tRs1mXj776NHD+OCj8WjfviPmzf361ch+yce8e/c+aNmyDf766zrWrVuB\niopyLFu23uSzmdqyOdrZcnklli+bjmHDxiMwsLFBOSaXXcvHYgsd502EQhE++98aNHLygIODMwAg\nMKAZeDw+og5vwuv93oGLs/bpnVcpm6PjMa8eYQwJ7oAe3d8FAHh7NQWjVuOPc1vQpfNYrVE9U8vm\n1HIerLa+dejpDw6Hgz+Px9aaZUrZFhbPz1artbN5fAss3DkCtg5W+OGr35GV/BRBzV0x7OMIVJYr\n8cs3500+m1OHbJVSjWm9tuGLzYOw4sw4cDhAQZYMayadwLxfR2oV8KaYXRd16a+hXqoArL56tUTG\nHgGpHimytdEeOrepaiPT08bGwKtx65L9bzFmto1Ec98lJezRl+rRN5taRtQ2bFyLr+bOQqfIzti+\nbQ8EAsPm6Bg7W1KVXVrKzq4efav+vT7+/po5h61atYVSqcTatcswdeosODvrnudiKtnW1ppRx5qj\nbdW3q3//T1s2rwTDMBg9ZgJUKhUABgwYgNEsy8LlcmvNNXa2paVm1LGigj3qVF5eyvr9P/H5QoSG\ntNba3rRJB0Qd/gHpGY8NKsKMmS0UakYd5XL2lZPVo2+iGqNzACAQWmqm1fizLyzy92uF389uRk5O\nokFFmDGzy6veQGuOtlXfru0NtllbTzyKyX6hiy9MIbt6FEdkzX4ttKwafSvTcZ9tewfAM9ABC8Yf\nxIPrGQCA2L+yUF4ix7tzuuD3ffeQYcA8RGNml1aNgFWPQlazqhrNKtUzQpad/BT/67oFtg5WsHGw\nRMbjQjTysgWHA8gKdV9tbErZdfF3f9n/T3/31/CLT2p6qaEqPz8/cLlcJNS4cCMhQTMnKjgkRKtN\nUGAQGIZBYiJ73lRiYgI4HA5CgrXb/FvZ/xZjZvv4+ILL5SIpmZ2dlKSZjxUYGKS37RdfTsPsOTMw\ndMhw7NsbBWtra737mlq2p6c3uFwuUlPZa2tV3/bz0558n5WVgf37d0IuZ7+QhYY2AQA8eZJj8tku\nrp6wsOAiK5M97yyz6ranl59Wm4sXTyEjIxmv92uCPr2D0ad3CO7dvYm7d2/gtT4hOH06yuSznRzd\nYMGxwJNc9ryz3DzNm46Li7dWmye56fjzwqFnhVo1hULzAikRGzZZ2pjZ9g1cYGFhgcLCLNb2wqea\n2w0baq8Z6mDvBoZhoKox506l1lzJqOvKXVPLzs+RgVEzcHRhf6iovp2ToX+JDNsGlnD3scftyykG\nZZlSdk5aMdQqNZxrzC1z9tTcztRRTDWs6lfcbfYyLQ9vZQAcDtz9DVtVwZjZWYmFUKuYZ3PoqlXf\nTn2kvfSOQMhDj1FN4exlh+KCMqTHF4BhGAS1dAXDAPG3s7TamFp2XaTH5YPDAdxqPLZu/g5gGN39\nNdRLFYBCoRCRkZ0QFcV+UT9w8ADs7OwQ0TpCq42fnx98fHxw4OABrTYBAQEGL4pcl+x/i7Gz27fr\ngKPHjrC2Hz4SBVtbO7Rs0Upnu/kLvsKPP32PTz+djB++/7lOF6EYM1sgEKJVq3Y4c+YYa/upU0dh\nY2OLpk21l97IzEzHrFlTcObMcdb2S5fOgc8XwNfXsAtQjJ3dtGlrXLp0mrX94oWTEIttEBysvSbd\n14s2Yf36g9iwIerZT0BAGAICG2P9hii0a9fN5LP5fAECA5vj9p0/Wdtv/XUWVpYS+PqEarUpLi7A\n9p1LcfOvP1jbr988A0tLMby9gk0+m8cTwMuzCR7FslcSePjwIkQiMdzctO/Hy7MJBAIR7t0/x9oe\nF3cFXC4PHu7a/TW1bKVSjYSHTxDe1oO1vXk7T5SXypHyOF9PS80afmAYnev1mXy2QoVHtzLRpif7\n9aBt7wCUSSuRcFf7g2L1WnshrdhnEIJbugEMg9znFKymkq2QqxBzIRWRQ9h/H52HhaGkqAKxN7TX\n1VPIVZi8rh/6vf/3+qMWFhwMntgWWYmFSL6fa/LZdZGV9BTZyUXoPKxmf0OR+bgAuemGPea6vPRC\n0B4eHli6dAkePLgPsUSCbdu3YcWK5Zg3bz4iIyMhk8kQHR0NkUgEKyvNKQRbW1ssWbIEubm54PK4\nWLVyJXbs3IH169YjNNSwF4y6Zv9TTEwMjhw9UqeFoOsjW99C0O5u7lj13Qo8evQQYrEYu/fsxJq1\nqzBzxmy0b98RMpkM9+7dhVAohJWVFe7di8HHEz5AyxatMOHjScjKymL9SCQ2OtctNFa2voWgXVzc\n8MMPq/H48SNYW4sRFbUXP/20DpMmfYnWrduhpKQEjx7dg0AghKWlFVxd3XHnzk0cOLAbYrENpNJi\nbNu2Cbt2bcHEiZ+jQ4fOOnOMla1vYWAnRxfs3v0DklPiYWlpjdOno7B37494++3JaNo0AmVlJUhI\neAiBQACRyBJ2dg5wcHBi/Zw9exQCvgBvvvkRhELDv52hPrL1LQRt36ARTpzchozMJIhEVrh89QRO\nntqJQQPeR1Bgc5RXlCItLR58ngBCoQj29o3wOCEGl64ch1AoQkVFGX4/+yvOntuPYUM+QVBgc4OP\nuz6y9f1/29o64uLlPcjNTYFAYImYmDO4fHUfunUZB2+vJqisLEPOkwRweQII+CJwuXzweAJcvX4Q\npaVF4PH4uHvvD1y6shdtIwYjOEj/N1YYI1vfQtCF+WXoPaQxXD3tUFmhQJuufug5KBTH99xF4qM8\nCEU8ePg0gEKhZq3T1rKDF3yCHBG1zfCLEIyRrW8h6PwcGQZ/0BoeAQ6oKJWj86BQDHyvFfauvYrY\nv7IgsubDO8QJikol5BVKZKc8RbNIb3QbGoaKMgVE1gJ06BuINya3x53zKTj+Ao9DfWTrWwg6N60Y\nY2ZEwqdxI5TLKtF7XDO8Ob0jtnx1DncvpcJSLEBAMxcoKpSorHpPsJIIMWxyW5QUVcDaRoSPV/RG\ni24++GZc1LOreA1hzOx/cvayQ5+3m+HkL38vBK0ru7SoAqNndkIDJ2uolQxGftYevcY2w3efHNMa\nAXyRhaBfugD08fZBeNOmOHjwIDZu3IC0tDTMnDELU/43BQBw7fo1dO3WBaGhoQgP14wYhIc3g4uL\nC3bt3oWffvoRshIZvl3xLUaMGFlrh182+59epgCsj2x9BaCXlzcahzXBkaOH8PPPm5CekY5pn33x\nbKHlW7duoF//XggOCkHjxk2xectPuHL1MrJzsrFj51atn27desDTw7CR1/rI1lcAurt7Ijg4DKdO\nHcXOnVuQlZWOTz6ZivHjPwYAREffxOjRA+DvH4SQkMbgcDjo2bMfZDIp9u3bgb17t6GkRIbPPpuF\nsWPfN+h46zNbX0Hg7OIBX79gXLp4CkcO70Duk0yMHjMBw4ZrJt0/fHgHU6eMgpdXAPz8dE8/OH3q\nICwsLNCr14t9E0h9ZOsrAB0busLDPQB/3T6Hs38eQGFBDl7v9w569xwFAEhKvI8lKz6Gq6sPPD0C\nwOFw0KJ5F1RWluHS5eO4cPEQyspKMHTwx+jaefALHXd9ZOv7/25g5wznRr54GHsRN28dRVFxLjpF\njkL7tkMBABmZj7Bl6zQ4NvSCs7PmNLyHeyjsbJ1w/8GfuHHzMJ4WZaN9u+Ho2nnsCx13fWTrLQBz\nS5GZ8hTN23miU58gODiKcXL/fZw9qrm4wiewIaZ83QvZGcXI/MfSJc3be8HBUYyzR3V/bZsh6iNb\nXwGYlylFSmwe2vUOQJ/R4XB0tcGB72/g+FZNMRXYzAULdgxHemIhUuM0o5FXTsTDrqEVer7RBN2H\nNYaDswS/bY/G1qUXal1WpL6z9RWAOSlFSIx5gs7DQjFoQhs4e9lh+9cX8Ot3msW4w9p6YPWF8Uh5\nmIvEu08AAHfPp4In4GHQJxHo805zlEorseL9I7h1xvAFqI2d/U/OXnboPa4Z65tAdGUnxuSgIEuG\nnmPC0f+DlrC2EWL91JM4t097bc4XKQA5TG2XOAG4d+8eACA0xPCvaSMvTyY1/FLx/5K8At0vlP91\naS8xlP8qS0vUf4rtvywt3bBlk/5rcu8/MXYXjCL3oXn+nefF1W10jNTNzEM94OLbAE2aNKl13/+/\n9UoIIYQQQohJogKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZKgAJIYQQQswMFYCE\nEEIIIWaGCkBCCCGEEDNDBSAhhBBCiJmhApAQQgghxMxQAUgIIYQQYmaoACSEEEIIMTNUABJCCCGE\nmBkqAAkhhBBCzAwVgIQQQgghZoYKQEIIIYQQM0MFICGEEEKImaECkBBCCCHEzFABSAghhBBiZqgA\nJIQQQggxM1QAEkIIIYSYGSoACSGEEELMDBWAhBBCCCFmhgpAQgghhBAzQwUgIYQQQoiZoQKQEEII\nIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZKgAJIYQQQswMh2EYpradbt++DYZhIBAI6qNP\npIpaXet/zX+SSmWex61UqY3dBaNQKlTG7oJRKJXm+f+tlpvn/7fKTP/OVXLz/Ds3FjtnS/D4XLRo\n0aLWfXmG3CGHw3npTpEXZ2Fhno+7uR43n2+mA/Iig16GCCGE1EKhUBhcsxk0AkgIIYQQQv47zHTI\ngRBCCCHEfFEBSAghhBBiZqgAJIQQQggxM1QAEkIIIYSYGSoACSGEEELMDBWAhBBCCCFmhgpAQggh\nhBAzQwUgIYQQQoiZoQKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQgghhJgZniE73blzBwzD\ngM/n/3/3hxBCCCGE1IFCoQCHw0Hz5s1r3degApBhGDAMAzDql+4ceQEqpbF7YBwKubF7YBx03GZF\nXWmez2+F0jzfRxRqxthdMIoKMz1uYxE7O4Fr4GCdQQUgn88HGDWa+Hu/TL/IC2Ly0ozdBaNQP35g\n7C4Yx6MYY/fAKJjYWGN3wShKYszz+Z2QWGzsLhhFcnmFsbtgFBeKzfO4jWXkoZ1o6Ott0L40B5AQ\nQgghxMxQAUgIIYQQYmaoACSEEEIIMTNUABJCCCGEmBkqAAkhhBBCzAwVgIQQQgghZoYKQEIIIYQQ\nM0MFICGEEEKImaECkBBCCCHEzFABSAghhBBiZqgAJIQQQggxM1QAEkIIIYSYGSoACSGEEELMDBWA\nhBBCCCFmhgpAQgghhBAzQwUgIYQQQoiZoQKQEEIIIcTMUAFICCGEEGJmqAAkhBBCCDEzVAASQggh\nhJgZKgAJIYQQQswMFYCEEEIIIWaGCkBCCCGEEDNDBSAhhBBCiJmhApAQQgghxMxQAUgIIYQQYmao\nACSEEEIIMTP/SgF4+veziOjUDdaOrvANC8e3q9fW2mb3vv1o3KodrBq6ILRlG2zbubvesqvdiY6B\nwM4Raenpr172hStoM3AUxCER8It8Dd/+uPW5+8vlCixe/yNCuw+EJLQNQroNwMI1P0ChULxa2bfu\noe2n82DT/30EjJ2Glb/+9tz9K+UKzPr5V/iN+Qw2/d9Hx8kLcfrWvRfONXr2oxS0XbETNtPWIGD+\nz1h59pbBbVVqNdqu2Ikea3995bLPpOWh3f7LsN10CoE7zmFVdNJz908sLoVgwwmtn+Z7Lr5S2bzW\n7SDetAu2Z65Dsu83CN94q/Y27SIh3rQTtr/fgM2BM7CcNB0Qil6pbJvOkQg5cQTNE2PR5NolNPrw\nfb37OgwfhpaZKXp/7IcNeWWynbt2Qe8/TmJEZjIGRN9E8KcfP3d/joUFQv83Ea/fuorhGcnoc+EP\neA4a8EKZppAd0rMbvrx+DqtLsrEwMQY9pn763P25fD4GLZ6LxakPsKY0BzNunUfLES/2WJtCdjU7\nN1d8W5gK/8j2te7b6o1hmHPvGtaU5mDugxtoM/bNl8oGAO68efPm1bZTbm4uAAaN7O20fnftxk30\nGjAE3TpHYtHcObCzs8VXCxfDUiRCh3Ztdd7fgUOH8ebb72HsmyMx+4vPUVlZidnzv0ZIUBDCQkMM\n7nxdsqvdf/AQrw0eDllJCf434WPY2toanFtv2WXFurNvx6D3Wx+hW7sIfD1tIuxsbTB35XqIhAJ0\naNVcZ5sJcxZj4469mDx+DD57fxwaOTpg0bpNSMvKwYAeXQw/7nrIZgpzdGc/TMBrM1aga3goFrwz\nFHZia8zbdhAiAR8dGgfqbDN++Y/Yc+4a5r41GJ8M7IH03ALM2rwfXZuFwNPJwfDjro/s/Ce6s5Oz\n8NqGg+ga6IEF/TrAzlKIeSeuQsTnoYOvW619/+b0dez+Kxbe9rZ4q02Ywcdcb9n5+bqzc56i79Gb\n6OLmgIVtAmEn5GPejXhY8izQ3sVeZ5s/MwtwICkHvw9sgw8ae2F8qAfGh3pgZIArnKyEhh93PWTL\nn+h+fnPDmkK8chNUt2+i4se1QIkMovc+BeSVUN2L1tmG16EzrBevhvLGFVR8vwqqtBSI3nwbXE9v\nKC78YfBx10d24dNKnfdj3aI5AvfsgOzyVWQtXQ6VVAq36dPAVFSi5Kb2hw55dhaKjv+G/F17WD/W\nrVqCqShHxsJFYCoqDDru+sguUCp1Zju0aoluUfvw5OJlxHy9BHKpFE1nfgFVRSXyr9/Q2abpzC/Q\n+ItpiPv+RzxcvRY8K0s0XzAXRQ8eQhr/2KBjrq/s1Erdx+3TpjUmnT6E+HMXcHj2QpQXSTFg4Wwo\nyiuQeOW6zjYf7t+ONm+9iQsbf8Zvi1agtPAphq1cjPJiKVJv3jb4uI2ZXa2Buxsmnz4EOzdXXN26\nC4Vp+geDmg8ZgPd2b8aNHXvx29fLwROJMHDRHOQ8ikP2w1jWvo3fGAqrBnZo1KhRrX3gMAzD1LbT\nvXv3AEaNJv7eWr/rPWAIpDIZrp4782zbl3Pm4fufN+NJ8mMIhdovfMHNW6NFeDh2/fLTs21vjBuP\nOzF3ERdt+OhCXbIVCgXWbPgecxctgaWlCIWFT5H8MAaeHh4G59ZXNpOXpnN7n7EfQVpSgitRO/7O\nXvIdftj5K3JunYNQKGDtX1hUDKcWnbFs5lRMfe/vT/PLvt+MmcvW4Mlff8KhgXZxb6xs9eM7OrNf\n+3I5pGXluLzmq2fbZvy0D5uOnUPWvjUQCvis/VOf5CPgrWlY++lb+LB/NwAAwzAIGvc52oT4Y/uM\njww65nrLfhSjO3vDAUgr5Lg89e9PfDOOXMSmy3eR9fWHEPJ5evsdk5mHyFW7YWcpRKCTPX6fONzg\nY66vbCY2Vuf2vkdvQCpX4tLQvz8dz7wai00P0pD5TncIuVytNnOvx2NHXAYS3+pm6CEaLbskRvfz\n2/rb78GxFqPkozHPtok++h+EA4ejeEAXQMfIuWT3MahiH6Bs/hfPtgmGjoJw2CjIxg0B5HKD+lQf\n2QmJugvfgN3bwRWLEdt/8LNtbjO/hONboxHTtCUYA47B6d134D53NmL7D0ZZzN1a96/P7Phy3cVo\n1wN7wZdIcLpX32fbwufORsD4cTgYEAa1juxBD2OQ8+d5XPtk0rNtPU8dh6qiHGcHDqu1r/WZfaFY\n93FPPBkFSxsJlrXv8fd9fzMPnT4aj+mN/KGske0e3gQzb1/E4ZnzcWrpqmfbO3/yPgYvmYcv3YJR\nIZMZdNzGzAaAduNGYcjyrwEA1vYNsLJrPyRcvKJ3/3mPbiHtdgw2j3732bZ3d2+BR/OmmBfckrXv\nyEM70dDXG02aNKm1Hy91Clgul+P8pcsY3P911vZhgwdCKpXh0pVrWm1S09IQ/zgBg/r3Y7cZNBAJ\niUlITEr+f8sGgBOnTmPh0uWYPX0aliyYa1CWaWUrcP76LQzqzX6TGda3J6QlJbh0S/uTiFRWgo/G\njED/7p1Z24P9fAAASWkZpp+tUOLC3TgM6sD+Yx8a2RrSsnJcuh+v1cbF3g7X1s3DqO7tnm3jcDjg\ncbmokBt++tmo2UoVLiRkYFBTf3Z2swBIKypxKSlLb1uFSoXxO05iYucWCHBsYHCmSWSr1LiQVYhB\nvuxPsUP8nCGVK3E5+6nOdjH5UoQ3tHnhPFPJBo8HXrNWWiNninOnAWsxeE1baDXh+gfBws0Dlft3\nsY/jwC7I3nzd4OLPmNkcPh+Stm1Q9Nsp1vanx0+AK5FAHNG69u47OMB1+mfI27r9hYo/Y2Zb8Plw\n6tAO6cdOsLanHz4KvkQCx7ZtdLbjioRQlJSwtsmfFkJor3t02tSyuXw+Ajt3QHTUUdb22/sPQ2Rj\nA7+O7bTaOIcEAQyDe8dOsrbHn7sAgbU1Art0NPlsAHBr2hhvblyFq7/sxC9vfQhwOM/d397TA06B\n/og5dIy1/c7+Q3Dy90VDXx+Ds2t6qQIwKTkFcrkcgQF+rO3+VR2Ke6w9HPwoNh4cDgeB/tptGIZB\nnIHD13XJBoCIli2R8vAuvpw2BTyu/tELk81Oy4BcoUCgjzc720szihiXlKLVxtvDDesWzESAjxdr\n+6FTZ8Hn8RBYY7tJZmfnQq5UItDdmZ3t5gQAiM/QPm0s4PPQIsAbEitLMAyD9NwCTN2wE0nZec9G\n5Uw+u6AYcpUKgU7sIsq/oWbUND63UG/bBb9dg1Ktxry+2i9oJp8tLYNcpUaArTU7u+p2XFGpznYx\n+VJI5Up0OngVkh9OwuOXPzDraiyUavUrkW3h6gHw+VCnp7K2qzM1p4csPL212nADggGGAZQKWC9d\nq5mHd/wiRBOnAzzDX2eMmS308gRHIEBFEnueZWVyCgBA5Odb6324Tv8MUKmRuXSFwbnGzhZ7e8FC\nIIAsMZG1XZasGQixCfDX1QxxGzfBZ+QIuHTrCp7YGt7Dh8K5W1ck79n3SmQ39PUGVyDAk/gE1va8\nBM3/gXNQgFab0vwCgMOBvZcna7ujv2/VfRpWCBkzGwAKU9Mxxy8cB6fPgbysTPP8eY7q4rNmf3MT\nkgAOR2d/DVW3KqRKsVQKALCRSFjbJVW3pVLtIdFnbWxsdLcxcBi1LtkA4OLirHP7izBqdtXjYyNh\nvzlJxJrbUpnuN6eaok7+gW0Hj2Li26NgayOpvYGxs0vLNVlWluxsS81taVn5c9sv23scszfvB4cD\nvPdaF3RvHmpQrtGzyzXzpSQi9qn16tvSCt0jLDdTc7Dq3C2cn/wG+DpOV5p8tlwzb8hGwH6JklSd\ncpbJtecVFVTIkVlaARXDYEn7YHiKLXE2Ix/L7iQho7QCW3s0M/lsjlgMAGBK2SMsTJnmucWxFmu3\nsWsAcDiwXrQK8jMnULF7K3ghYRC9OwEWdg1QtnCGyWdzq147VTJ2tqpqpIkref7rBM/BHg7Dh+LJ\nhh+grjE6ZcrZ/Kr3QUWN9z1lVV/4Eu3HHABiN/yAhq1boct+zcWTDMMgaccuxK7//pXItqya915R\n472y+jSqSMf7QtyfF5GflIKRa5dBUV6OlJu34dGsCQYvmQ9GrYbQ2srkswGgvLgY5cW6p0Ho7q+N\nnv6W6O2voV6qAFTX8snWwkJ7gLEubf6t7H+LcbOf/2nBwuL5w8kAcPDk7xgzeQY6RbTE0i+nvBrZ\ntXxKsqhlGL1/u+bo0DgQl+/HY+H2QyiXy7Fl+gf/yexKhRLv7jyF/3VtiZaetU8EfjWztbdZ87g4\nOSAC/rbW8JRoivOOrvYQcC0w90Y8Zrb0R1AD3W9qppINTi2vHbpee/ia+afy83+g4ofVAABV9C3A\nggvRB5NgsXnDs1E8k82u7TWzltfchqPfBIfDwZOfN9eeZULZnFqyGR2vuRZ8PnqePAqRoyNuTP4M\n0oQENIyIQOPPp0JZVobbM+b8B7K1H3O1Uok1vQbhrc3rMfnMYYDDQXFWNvZOmo4Pft0GeS0fxE0h\nuy7q0l9DvVQBaFv1CUJW41NP9QiYra32fJhnbWp86pBWjarZ2hg2h6Yu2f8W42aLq7LL2Nklmk/p\ntrV8Wl3103ZM/2YlurWPwMEfVkFQ4+IFk8221rypltSYSF09+mZbyyewUC/NFasdGwdCoVRhwfYo\nLHxnGNwda5+3YtRskeZiopIao23Vo2+2ltoXG80+fhkMw2BWrzZQqdVgGIABAIaBSq0G18APKEbN\nrhp9kylU7Oxno3PafzsiHhfd3BtqbX/NywlfXY/H3QKZQUWYMbOZ0qrXRSv2KHv16Fv+2BR7AAAL\nrklEQVTN0TmgaoSOYaC8eoG1XXH9EkQfTgY3MMSgIsyY2aqq9wOumJ1dPfqmrOXMUIN+fSE9fxGq\np0W1ZplStrzqfY8nZv9t8KqyFVW//yePgf1hGxqCs4OGIffiZQBA3tXrUMhkaLX8GyT8sh3SOO15\nyaaUXVE1AiaqMcpoWfXeWl6snQ0A+ckpWNm1H6wd7CF2sEfu40TNaVkOB6WFuufmmlJ2XVRU9Ueo\n1V/Jc/triJcaqvLz9QGXy0VCInvuRELVXIqQIO3lMYICA8AwzLN9/m6TDA6Hg5Bg3Utq/BvZ/xaj\nZnt6aLJT2VcQJqRobof465+LMGneEkxbtAJvDngNx7esh7WV4cPWRs92cQLXwgIJmeylUhKyNLeD\nPV202qTlFmDLyQuQK9in7JoHaOYdZhUY9qQ1anZDW3A5FkjIZ7+5JORpbgc30i4io6IfIy73KWw+\nXwvRlO9gOfU7XEzMwIXEDFhOWY3tNx6afratFbgWHCQWs6cVJFTdDtFRTCUUl+LHB2mQ1rjIplyp\nKeQcLQVabUwtW52ZDqhV4LqzVwawcNPcVqVor0WozkjTTCTnswtTTtU8Y6bSsKVQjJldmZIKRqWC\n0NubtV3orXm+VOiZVw0A/EaNYNU4DIVHjurdx1SzS5JTwKhUkNSYQ1Z9uzheu5iydtd8oMy/fpO1\nPe/KVXA4HNgGB5l8dl5iMhiV6tkcumrVt7MfxWm14QmFiBg1Ag5enigtKMST+AQwDAOvls0AhkHa\nbd3LFJlSdl3kxD0GOBw46eovw+jsr6FeqgAUCoXo1KE9Dh5hX52yP+ow7OxsEdGqpVYbP18f+Hh7\nYX/UEXabQ4cR4O9n8HIsdcn+txg3W4BOES0QdZJ9pd7+E2dgZyNBRLjuS79nLF2N9Vt347MPxmHb\nqsXgvcAEbZPIFvAR2SQIUZfYywQduHATdmIrRARrT9ROfZKPD1ZuxqHLf7G2n7l1HwIeD0Ee2oWb\nyWXzeYj0d0NUDHsC8IHoeNhZChHhpT2v9PCHg3Bt2ihcnzb62U8L90Zo6dEI16eNxuuNa5/UbvRs\nLheRLvaISmIX3QeTcmAn5KO1k/bamTmllZhw/j72J7AvytmXkA1bIQ8tHA0bmTdmNhQKKKP/Ar9T\nD9ZmftdeYEpkUD3SXkhcGf0XUFEOQY++7DaR3QClEqr7upcXMqVsRi5HybUbaND3Ndb2Bq/3g6pY\nitI7+u/HuoXmTbjk5l969zHVbLVcjtwrV+HxOntVDM+B/SEvLkbBX9pLYkkfa56PjjXWm3Vs2wYM\nw6AkJVWrjallK+VyPL5wGc2HsBeQbjFsIMqLipFyQ/vxVMnlGLluOTq+P+7ZNo6FBbpM/BB5icnI\num/Yh0tjZtdFflIyCpJT0WLYIK3+5j5OxNN0w1bS0OWlF4L2dHfDNytW4f7DR5CIxdi6cxeWrVqD\nBbNnolPHDpDJZIi+ew8ioRBWVaM+djY2WLxiJXLz8sDjcvHtmnXYvnsvNn63EqEhwQZ3vi7Z/xRz\n9x4OHz9Rp4Wg6yVbz0LQHi7OWLLxZzyIT4DE2gpbDxzB8h9+wfypE9CpTUvISkoR/SAWIqEAVpaW\niH4Qi7c/m42I8MaY+t5byMx5wvqxlYghFBg2QlEf2foWgvZwcsDSPcfwICUDYisRtp25hBX7TmDe\nuCGIbBoMWVk5ohPSIBLwYSUSwtPJAVcfJuCXUxdga22JopIyrIs6g41Hz+KrtwahR4vGBh1zvWXr\nWQjaw06Cpb/fwIOsAoiFfGy78RAr/riFeX3bI9LfHbIKOaIzciHi8WAl4MNJYgUXWzHrZ89fsRDy\nePiiZwQsn7N2n1Gy9SwE7SGxxNLbiXhQKINEwMP22EysuJOEeREBiHR1gEyuRHS+FCKuBaz4XHiI\nRbiS8xRbYzNgxeOiRKHEursp2HAvFYvbBiPS1fCFv+sjW99C0MyTHAjHvgeubwCYslIIXhsI4ah3\nUPnzeqhibgOWVuAGBmuWWKmsAJRKoLISwjfegkUDe0BeCX6v1yEa+x4qf90B5eU/DT7u+sjWtxC0\nPDMLLpMmwDI4CKrSEjiMGAaXCR8ha/m3KLl+AxbW1rBqHAZGXgn1P6ZjNBjQH9YtWyBz4SKDj9MY\n2foWgi7NzETY1MmwDQmGsqQEvqNGImTyp7j3zTLkXb0GntgaDZo0gbqyEqryckgTEuHavRv8xo6C\nsrQUPLE1vIYMQtNZM5B95g/Ebdxk8HHXR7a+haAL0zLQZ8ZncGscggpZCdqOG4Ve0/+Ho18tQsKl\nqxCKxfBo1hSKigooyjXTbSwlEnSd/DHKi4ohspFg2IpFCOrWGVvHffTsKl5DGDP7nxy8PNHu7dG4\n+svOZwtB68ouL5LitZmfQeLkBLVShR6fTUTbsW9i9ydTtUYAX2Qh6JcuAH28vRDepDEOHDqC9Zt+\nQmp6OmZ/MQ1TJ2m+VuXajZvo1KsvwkKCEd5UM0LUrGkTuLo4Y8eefdi0ZStkshKsWroYI1/w63Pq\nkv1PL1MA1ku2ngLQx8MN4SFBOPDb79iwfS/SMrMx69P3ny20fO32XXQe+Q5CA/wQHhqEjTv24uKN\n28h6kofN+6K0fnp3ag8vd1fDjrsesvUVgD7Ojgj388TBi7ew8cgfSMstwMzRAzBlWB9N9sNEdP1s\nMUK93BDu5wkOh4PBHVqhqLQcP5/4Ez8e/xPSsnIsGj8cnw7qadDx1mu2ngLQx8EW4a6OOBjzGBsv\nRSOtUIqZvdpiSjfNSPO15Cx0XbMPoS4OCHdz1Hkf264/gIUFB29FvNg3gdRLtp4C0NvGCk0b2uBg\nYg423k9FmqwcM1r543/NNKOI13OeotuhawhtIP6/9u4nROoyjuP4Z1J3MzehNFlyXcGQOgjSoqGH\nyIMdSsQIodBIDfVQ0CE6FXTyVlDRPzQh+wOBiEWHCqKgoGML6u6aq4Gtum5BZHrQbdydDvaXGnY9\nOD+a5/U6zWFmnuc5zMx7ZuD3zfL5c1Or1fLAku5cqF/OO9+eyd6hkZwbr2fXqtuzc9n0LjfUyrWb\nBeDk2GgmTgynY8296Xzw4VzXfWvG396T8f3vJklmLFuerlf3ZeLkd5k8ceVvuonBw5kcG03H2vvS\nuXHTlWvzvb8v42+9cVXnbsXaTQPw1OlcHBrKTevuz4KtW9LR05OzL7+SH/dcGRgwZ0Vf7vjgQC4N\nH8/FoaN/Pu7m9evS2dOTH3a/eVVnbfXaTQNw5FR+HhhM74b1Wbr9scxZtCiDL7yYY6/vTpLMX7ki\naz/+KOePDefcwGCS5PuDH2b2gluydNuW3Pbo5tywcGGGd+9N/7PPTXlZkVav3SwAfzo5kjOHjuTO\njRuy5okdmbe4N5/sej6fv/RakmTJqpV5+qtPc3boWM4cHkiSHP/y68zs6Mw9j2/P6m2bc+n8hby3\n48kc/eyLaZ+56rX/bt7i3qzesukfk0D+a+3Th47kl9Gx3PXIQ7l759ZcP/fGHHjqmXyz/+C/nrOl\nk0C4dppNAml3zSaBtL0mk0DaXbNJIO2u2SSQdtdsEki7azYJpN01mwTCtdGySSAAAPz/CEAAgMII\nQACAwghAAIDCCEAAgMIIQACAwghAAIDCCEAAgMIIQACAwghAAIDCCEAAgMIIQACAwghAAIDCCEAA\ngMIIQACAwghAAIDCCEAAgMIIQACAwghAAIDCCEAAgMIIQACAwghAAIDCCEAAgMIIQACAwghAAIDC\nCEAAgMIIQACAwghAAIDCCEAAgMIIQACAwtQajUZjqjv19/en0WikY9bMVuyJP0xcrnoH1aj/WvUO\nquHcRZkcL/P1Xb88WfUWKlGfnPKjti1dKvTcVenqXpAZs2alr69vyvtOq+hqtdrvN/xg2FIzO6re\nQTVKPffsqjdAK5X6btpZ9QYqUuq5u6reQGHq9fpfzTaFaf0CCABA+yj1SygAQLEEIABAYQQgAEBh\nBCAAQGEEIABAYQQgAEBhBCAAQGEEIABAYX4D4ZJQ6INfpUEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e6b2d2f908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_example(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RiQwLQCIiIiKRYQFIREREJDIsAImIiIhEhgUgERERkciwACQiIiISGRaARERE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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e6b6fe40b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_example(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZQuXKlY0uxy4pKYn4+HhsNhve3t5Uq1aN06dPk5qaStmyZalTp459vYyMDPz8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\ndGd8RQG6NiIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e6b6c44c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#See it in action with the ConfusionMatrix\n",
    "\n",
    "\n",
    "from sklearn.datasets import load_digits\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from yellowbrick.classifier import ConfusionMatrix\n",
    "\n",
    "digits = load_digits()\n",
    "X = digits.data\n",
    "y = digits.target\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y, test_size =0.2, random_state=11)\n",
    "model = LogisticRegression()\n",
    "cm = ConfusionMatrix(model, classes=[0,1,2,3,4,5,6,7,8,9])\n",
    "cm.fit(X_train, y_train)\n",
    "cm.score(X_test, y_test)\n",
    "cm.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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